Asghar Qadir
Encyclopedia
Asghar Qadir HI
Hilal-i-Imtiaz
The Hilal-i-Imtiaz, English: Crescent of Excellence, Urdu: هلال ا متيا ز , is the second highest civilian award and honor given to both civilians and military officers of the State of Pakistan|Pakistan armed forces by the Government of Pakistan...

, SI
Sitara-i-Imtiaz
The Sitara-i-Imtiaz , is the third highest honour and civilian award in the State of Pakistan. It recognizes the individuals who made an "especially meritorious contribution to the security or national interests of Pakistan, world peace, cultural or other significant public endeavors"...

, FPAS, is a renowned Pakistan
Pakistan
Pakistan , officially the Islamic Republic of Pakistan is a sovereign state in South Asia. It has a coastline along the Arabian Sea and the Gulf of Oman in the south and is bordered by Afghanistan and Iran in the west, India in the east and China in the far northeast. In the north, Tajikistan...

i mathematician
Mathematician
A mathematician is a person whose primary area of study is the field of mathematics. Mathematicians are concerned with quantity, structure, space, and change....

 and a prominent cosmologist, specialized in Mathematical physics
Mathematical physics
Mathematical physics refers to development of mathematical methods for application to problems in physics. The Journal of Mathematical Physics defines this area as: "the application of mathematics to problems in physics and the development of mathematical methods suitable for such applications and...

 and Physical cosmology
Physical cosmology
Physical cosmology, as a branch of astronomy, is the study of the largest-scale structures and dynamics of the universe and is concerned with fundamental questions about its formation and evolution. For most of human history, it was a branch of metaphysics and religion...

. He is considered as one of the top mathematicians in Pakistan. He is the Chairman of the Mathematics
Mathematics
Mathematics is the study of quantity, space, structure, and change. Mathematicians seek out patterns and formulate new conjectures. Mathematicians resolve the truth or falsity of conjectures by mathematical proofs, which are arguments sufficient to convince other mathematicians of their validity...

 Department
Academic department
An academic department is a division of a university or school faculty devoted to a particular academic discipline. This article covers United States usage at the university level....

, and the director of Centre for Advanced Mathematics and Physics (CAMP) at the National University of Sciences and Technology (NUST).

He is a distinguished student of English
English people
The English are a nation and ethnic group native to England, who speak English. The English identity is of early mediaeval origin, when they were known in Old English as the Anglecynn. England is now a country of the United Kingdom, and the majority of English people in England are British Citizens...

 mathematical physicist Dr. Roger Penrose
Roger Penrose
Sir Roger Penrose OM FRS is an English mathematical physicist and Emeritus Rouse Ball Professor of Mathematics at the Mathematical Institute, University of Oxford and Emeritus Fellow of Wadham College...

. He made extraordinary efforts and published numerous papers in the fields of Mathematical physics, Cosmology and Mathematics. Qadir has made important and significant contributions to the fields of differential equations
Differential (mathematics)
In mathematics, the term differential has several meanings.-Basic notions:* In calculus, the differential represents a change in the linearization of a function....

, theoretical cosmology and the mathematical physics. He has written and edited a number of books, mainly focusing on mathematical sciences and mathematical physics.

He is author of the book "Relativity: An Introduction to the Special Theory" which has been translated in several different languages and is widely read by science students in colleges throughout Asia
Asia
Asia is the world's largest and most populous continent, located primarily in the eastern and northern hemispheres. It covers 8.7% of the Earth's total surface area and with approximately 3.879 billion people, it hosts 60% of the world's current human population...

. He has attended more than 100 International and National Conferences and Seminars in the fields of Mathematics
Mathematics
Mathematics is the study of quantity, space, structure, and change. Mathematicians seek out patterns and formulate new conjectures. Mathematicians resolve the truth or falsity of conjectures by mathematical proofs, which are arguments sufficient to convince other mathematicians of their validity...

, Physics
Physics
Physics is a natural science that involves the study of matter and its motion through spacetime, along with related concepts such as energy and force. More broadly, it is the general analysis of nature, conducted in order to understand how the universe behaves.Physics is one of the oldest academic...

, Economics
Economics
Economics is the social science that analyzes the production, distribution, and consumption of goods and services. The term economics comes from the Ancient Greek from + , hence "rules of the house"...

 and the History
History
History is the discovery, collection, organization, and presentation of information about past events. History can also mean the period of time after writing was invented. Scholars who write about history are called historians...

 and Philosophy of Science
Philosophy of science
The philosophy of science is concerned with the assumptions, foundations, methods and implications of science. It is also concerned with the use and merit of science and sometimes overlaps metaphysics and epistemology by exploring whether scientific results are actually a study of truth...

. He has supervised two Master of science
Master of Science
A Master of Science is a postgraduate academic master's degree awarded by universities in many countries. The degree is typically studied for in the sciences including the social sciences.-Brazil, Argentina and Uruguay:...

 programs, twenty-nine M. Phil, twelve Ph.Ds and two-joint Ph.D. students during his career. He has published more than 140 research papers. He is the author of 12 books, 22 research level articles, 7 teaching journal papers, 32 popular articles, and 48 research preprints. He is renowned for his work in mathematics
Mathematics
Mathematics is the study of quantity, space, structure, and change. Mathematicians seek out patterns and formulate new conjectures. Mathematicians resolve the truth or falsity of conjectures by mathematical proofs, which are arguments sufficient to convince other mathematicians of their validity...

 and mathematical physics
Mathematical physics
Mathematical physics refers to development of mathematical methods for application to problems in physics. The Journal of Mathematical Physics defines this area as: "the application of mathematics to problems in physics and the development of mathematical methods suitable for such applications and...

, in particular his contributions to general relativity
General relativity
General relativity or the general theory of relativity is the geometric theory of gravitation published by Albert Einstein in 1916. It is the current description of gravitation in modern physics...

 and cosmology
Cosmology
Cosmology is the discipline that deals with the nature of the Universe as a whole. Cosmologists seek to understand the origin, evolution, structure, and ultimate fate of the Universe at large, as well as the natural laws that keep it in order...

.

Biography

Asghar Qadir was born in Simla
Simla
-Politics/History:Simla , the summer capital of British India, often refers generically to the government of the British Raj.-Places:* Shimla , city in the Indian state of Himachal Pradesh...

 (now Shimla
Shimla
Shimla , formerly known as Simla, is the capital city of Himachal Pradesh. In 1864, Shimla was declared the summer capital of the British Raj in India. A popular tourist destination, Shimla is often referred to as the "Queen of Hills," a term coined by the British...

), Himachal Pradesh
Himachal Pradesh
Himachal Pradesh is a state in Northern India. It is spread over , and is bordered by the Indian states of Jammu and Kashmir on the north, Punjab on the west and south-west, Haryana and Uttar Pradesh on the south, Uttarakhand on the south-east and by the Tibet Autonomous Region on the east...

 of British Indian Empire in 1946 to a middle class family. After the partition
Partition of India
The Partition of India was the partition of British India on the basis of religious demographics that led to the creation of the sovereign states of the Dominion of Pakistan and the Union of India on 14 and 15...

 of India, Qadir's family migrated to Lahore
Lahore
Lahore is the capital of the Pakistani province of Punjab and the second largest city in the country. With a rich and fabulous history dating back to over a thousand years ago, Lahore is no doubt Pakistan's cultural capital. One of the most densely populated cities in the world, Lahore remains a...

, West Pakistan, where they were settled in a house provided by the Government of Pakistan. In 1963, Qadir traveled to United Kingdom
United Kingdom
The United Kingdom of Great Britain and Northern IrelandIn the United Kingdom and Dependencies, other languages have been officially recognised as legitimate autochthonous languages under the European Charter for Regional or Minority Languages...

 to with a Commonwealth scholarship which he applied and qualified for. In 1963, Qadir attended the University of London
University of London
-20th century:Shortly after 6 Burlington Gardens was vacated, the University went through a period of rapid expansion. Bedford College, Royal Holloway and the London School of Economics all joined in 1900, Regent's Park College, which had affiliated in 1841 became an official divinity school of the...

 and took his Qadir B.Sc.
Bachelor of Science
A Bachelor of Science is an undergraduate academic degree awarded for completed courses that generally last three to five years .-Australia:In Australia, the BSc is a 3 year degree, offered from 1st year on...

 with (Honors) in Mathematics
Mathematics
Mathematics is the study of quantity, space, structure, and change. Mathematicians seek out patterns and formulate new conjectures. Mathematicians resolve the truth or falsity of conjectures by mathematical proofs, which are arguments sufficient to convince other mathematicians of their validity...

 from the University of London in 1967 under the distinction of renowned mathematician Professor Oliver Penrose
Oliver Penrose
Oliver Penrose FRS, FRSE is a British theoretical physicist.He is the son of the scientist Lionel Penrose, brother of the mathematical physicist Roger Penrose, and brother of chess master Jonathan Penrose...

.

The same year, he became an A.R.S.C
Associate of the Royal College of Science
The Associateship of the Royal College of Science is an honorary degree-equivalent award presented by Imperial College London to students who complete an undergraduate course of study in science...

 and also obtained his B.S.
Bachelor of Science
A Bachelor of Science is an undergraduate academic degree awarded for completed courses that generally last three to five years .-Australia:In Australia, the BSc is a 3 year degree, offered from 1st year on...

 in Physics and DIC
Diploma of Imperial College
The Diploma of the Imperial College is an academic certificate awarded by Imperial College London to its postgraduate students upon graduation. Until recently, Imperial was part of the University of London and Imperial College bestowed the University of London's degrees as well as its own...

 in Mathematics. In 1969, Qadir pursued his M.Sc.
Master of Science
A Master of Science is a postgraduate academic master's degree awarded by universities in many countries. The degree is typically studied for in the sciences including the social sciences.-Brazil, Argentina and Uruguay:...

 in Mathematics, followed by Ph.D.
Doctor of Philosophy
Doctor of Philosophy, abbreviated as Ph.D., PhD, D.Phil., or DPhil , in English-speaking countries, is a postgraduate academic degree awarded by universities...

 in Mathematical physics and Theory of relativity
Theory of relativity
The theory of relativity, or simply relativity, encompasses two theories of Albert Einstein: special relativity and general relativity. However, the word relativity is sometimes used in reference to Galilean invariance....

 with the specialization in Twistor theory
Twistor theory
In theoretical and mathematical physics, twistor theory maps the geometric objects of conventional 3+1 space-time into geometric objects in a 4 dimensional space with metric signature...

, under the supervision of Dr. Roger Penrose in 1971.

Rutherford High Energy Laboratory

Qadir became a research associate and fellow at the Rutherford High Energy Laboratory
Rutherford Appleton Laboratory
The Rutherford Appleton Laboratory is one of the national scientific research laboratories in the UK operated by the Science and Technology Facilities Council . It is located on the Harwell Science and Innovation Campus at Chilton near Didcot in Oxfordshire, United Kingdom...

 (it is now known as Rutherford Appleton Laboratory (RAL)) where he continued his research in the field of advanced computational mathematics. There, he worked in a complex mathematical applications arise in the theory of nuclear fission at the ISIS neutron source
ISIS neutron source
ISIS is a pulsed neutron and muon source. It is situated at the Rutherford Appleton Laboratory on the Harwell Science and Innovation Campus in Oxfordshire, United Kingdom and is part of the Science and Technology Facilities Council...

 — a neutron scattering facility that mathematically studies the structure and behavior of nuclear materials in a fission process. However, in early 1971, he came back to Pakistan
Pakistan
Pakistan , officially the Islamic Republic of Pakistan is a sovereign state in South Asia. It has a coastline along the Arabian Sea and the Gulf of Oman in the south and is bordered by Afghanistan and Iran in the west, India in the east and China in the far northeast. In the north, Tajikistan...

 and joined Quaid-e-Azam University as a research associate. In 1982, he became associate professor and then subsequently became a chairman of the department of mathematics in 1986.

Academic career

While in the Pakistan, in the midst of the Indo-Pak War of 1971
Indo-Pakistani War of 1971
The Indo-Pakistani War of 1971 was a military conflict between India and Pakistan. Indian, Bangladeshi and international sources consider the beginning of the war to be Operation Chengiz Khan, Pakistan's December 3, 1971 pre-emptive strike on 11 Indian airbases...

, Qadir was serving as a senior research associate at the University of Islamabad. After the Multan meeting, held in January 20 of 1972, Qadir's colleagues and peers had quietly disappeared from campus. Qadir's close friend Riazuddin invited by him to Nilore to continue and carry out his advanced research at the Pakistan Atomic Energy Commission (PAEC). As an eminent and noted mathematician, Dr. Qadir was given task to calculate critical mass and the physics cross section calculations. Qadir, at first, adopted the Monte Carlo method for evaluating complicated mathematical integrals that arise in the theory of nuclear chain reactions. The mathematical calculations were brought up to Dr. Riazuddin, but Dr. Riazuddin already adopted the method earlier. Despite of Riazuddin's and his calculations, Dr. Qadir then approached onto a better method to develop the fission device.

He then suggested to adopt the Metropolis–Hastings algorithm using the Monte Carlo integration that arise in the theory of nuclear fusion and thermonuclear fission that can improve the intensity and frequency of the highly compressed shock waves, using the uranium reflector in a nuclear device. Then, Qadir opted the Pati-Salam model for solving the fission problem and suggested that the Salam's model can be used to developed an effective boosted fissionable reflector in a device. Qadir then continued to developed mathematical models and to evaluate critical mass problems. Riazuddin introduced Qadir to Salam where Salam encourage Qadir to research in mathematical physics in more depth. Under Riazuddin and Salam, Qadir specialized in the theory of Special relativity
Special relativity
Special relativity is the physical theory of measurement in an inertial frame of reference proposed in 1905 by Albert Einstein in the paper "On the Electrodynamics of Moving Bodies".It generalizes Galileo's...

, mathematics of particle physics, and mathematical economics.

In 1976, Qadir joined Quaid-e-Azam University's Department of Mathematics as an associate professor. In 1983, Qadir became Chairman of the Department
Academic department
An academic department is a division of a university or school faculty devoted to a particular academic discipline. This article covers United States usage at the university level....

 of Mathematics at the Quaid-i-Azam University. In 1986, Riazuddin invited Qadir to Trieste, Italy to join International Centre for Theoretical Physics
International Centre for Theoretical Physics
The Abdus Salam International Centre for Theoretical Physics was founded in 1964 by Pakistani scientist and Nobel Laureate Abdus Salam after consulting with Munir Ahmad Khan. It operates under a tripartite agreement among the Italian Government, UNESCO, and International Atomic Energy Agency...

 (ICTP) where he carried out his research in special and general theory of relativity. At ICTP, he taught the advanced course of differential equations, Special functions
Special functions
Special functions are particular mathematical functions which have more or less established names and notations due to their importance in mathematical analysis, functional analysis, physics, or other applications....

, Upper and lower bounds on Entropy
Entropy
Entropy is a thermodynamic property that can be used to determine the energy available for useful work in a thermodynamic process, such as in energy conversion devices, engines, or machines. Such devices can only be driven by convertible energy, and have a theoretical maximum efficiency when...

 and the Number Theory
Number theory
Number theory is a branch of pure mathematics devoted primarily to the study of the integers. Number theorists study prime numbers as well...

. In 1988, after researching at ICTP under Abdus Salam
Abdus Salam
Mohammad Abdus Salam, NI, SPk Mohammad Abdus Salam, NI, SPk Mohammad Abdus Salam, NI, SPk (Urdu: محمد عبد السلام, pronounced , (January 29, 1926– November 21, 1996) was a Pakistani theoretical physicist and Nobel laureate in Physics for his work on the electroweak unification of the...

, Qadir re-joined QAU and became full professor of Mathematics.

In 1989, Qadir published a book on Special relativity through World Scientific
World Scientific
World Scientific Publishing is a publisher of scientific, technical, and medical books and journals. The company was founded in 1981 and now employs more than 200 staff at its headquarters in Singapore, with offices worldwide in New Jersey, California, London, New Delhi, Tianjin, Sydney, Hong...

. Qadir provided simple representation of details of calculations and its extension into theory of motion. Through his text book, Qadir briefly discussed and introduced the Special Relativity for extension into General Relativity.

In 1993, he was personally asked by the President
President of Pakistan
The President of Pakistan is the head of state, as well as figurehead, of the Islamic Republic of Pakistan. Recently passed an XVIII Amendment , Pakistan has a parliamentary democratic system of government. According to the Constitution, the President is chosen by the Electoral College to serve a...

, Ghulam Ishaq Khan
Ghulam Ishaq Khan
Ghulam Ishaq Khan , abbreviated as GIK, was the seventh President of Pakistan from August 17, 1988 until July 18, 1993 and a career statesman from the start to the end of cold war...

 (late), to teach in the then newly founded research institute at Topi
Topi
The Tsessebe , is one of five subspecies in the binomial class D. lunatus. The other subspecies include Korrigum , Tiang , Coastal Topi , and Topi . Tesessebe are found primarily in Zambia, Namibia, Botswana, Zimbabwe, and South Africa...

, Ghulam Ishaq Khan Institute of Engineering Sciences and Technology
Ghulam Ishaq Khan Institute of Engineering Sciences and Technology
-See also:* List of universities in Pakistan* GIKI clock tower* Project topi-External links:* * * * *...

. In 1994, he went to Saudi Arabia
Saudi Arabia
The Kingdom of Saudi Arabia , commonly known in British English as Saudi Arabia and in Arabic as as-Sa‘ūdiyyah , is the largest state in Western Asia by land area, constituting the bulk of the Arabian Peninsula, and the second-largest in the Arab World...

 where he visited his life-long friend Dr. Riazuddin where, on his friend's recommendation, joined King Fahd University of Petroleum and Minerals
King Fahd University of Petroleum and Minerals
King Fahd University of Petroleum and Minerals is a public university in Dhahran, Saudi Arabia....

 where he served as a Chairman of Department of Mathematics and Statistics.

In 1998, Qadir came back to Pakistan and re-joined Quaid-e-Azam University as an Associate professor of Mathematics. The same year, Qadir joined the PAEC and became director-general of the Mathematical Physics Group where he was an instrumental for leading the mathematical studies in the foundation of mathematical physics. Qadir became involved in a team preparing the nuclear device in Chagai and eye-witnessed the country's first nuclear tests (See Chagai-I
Chagai-I
The Chagai-I was a codename referring to the five underground nuclear tests conducted by Pakistan at 15:15hrs in 28th May of 1998. It was named Chagai-I, as the tests were conducted in the Chagai District...

 and Chagai-II) where he was the director of the team leading the mathematical calculations to determine the yield
Nuclear weapon yield
The explosive yield of a nuclear weapon is the amount of energy discharged when a nuclear weapon is detonated, expressed usually in the equivalent mass of trinitrotoluene , either in kilotons or megatons , but sometimes also in terajoules...

. As part of his contribution, the Government of Pakistan conferred Qadir with civilian award, Sitara-e-Imtiaz, and earned the national fame. In 1999, Qadir became the Dean
Dean (education)
In academic administration, a dean is a person with significant authority over a specific academic unit, or over a specific area of concern, or both...

 of Faculty of Natural Sciences which he continued till 2000. In 2004, he served as the head of the Department of Mathematics at the Quaid-e-Azam University. Recently, he moved to Rawalpindi and joined National University of Sciences and Technology as the director of Center for Advanced Mathematics and Physics.

Awards and honors

  • Hilal-i-Imtiaz
    Hilal-i-Imtiaz
    The Hilal-i-Imtiaz, English: Crescent of Excellence, Urdu: هلال ا متيا ز , is the second highest civilian award and honor given to both civilians and military officers of the State of Pakistan|Pakistan armed forces by the Government of Pakistan...

    , Government of Pakistan
    Government of Pakistan
    The Government of Pakistan is a federal parliamentary system, with an indirectly-elected President as the Head of State and Commander in Chief of the Pakistani Armed Forces, and an indirectly-elected Prime Minister as the Head of Government. The President’s appointment and term are...

     (2008)
  • Sitara-i-Imtiaz
    Sitara-i-Imtiaz
    The Sitara-i-Imtiaz , is the third highest honour and civilian award in the State of Pakistan. It recognizes the individuals who made an "especially meritorious contribution to the security or national interests of Pakistan, world peace, cultural or other significant public endeavors"...

    , Government of Pakistan
    Government of Pakistan
    The Government of Pakistan is a federal parliamentary system, with an indirectly-elected President as the Head of State and Commander in Chief of the Pakistani Armed Forces, and an indirectly-elected Prime Minister as the Head of Government. The President’s appointment and term are...

     (1999)
  • Gold Medal
    Gold Medal
    Gold Medal is the sixth studio album by the American hard rock band The Donnas, released in 2004 on Atlantic Records. It was one of the first albums released in the DualDisc format, but was recalled due to a mastering error which resulted in the final track being partially omitted from the CD...

    , Pakistan Academy of Sciences
    Pakistan Academy of Sciences
    The Pakistan Academy of Sciences The Pakistan Academy of Sciences The Pakistan Academy of Sciences (Urdu: پاکستان اكيڈ مى ﺁف سائس; shortened to PAS, is a learned society for science and technology based in Pakistan. The academy consisted and served as the network of science across the Pakistan as...

     (1996)
  • Khwarizmi First Prize, by Government of Iran (1995)
  • Prize, National Book Council of Pakistan, (1991)
  • Senior Fulbright Fellowship, University of Texas at Austin, Texas, USA, (1987)
  • Fulbright Hayes Award (1979)
  • First prize in General Knowledge Contest for High School Students (1961);
  • ISESCO Award
    Islamic Educational, Scientific and Cultural Organization
    Islamic Educational, Scientific and Cultural Organization was established by the Organisation of the Islamic Conference in May 1979. ISESCO is one of the largest international Islamic organizations and specializes in the fields of education, science, and culture...

     for Mathematics (2003)

Fellowships and memberships

  • Senior Research Fellow at Pakistan Institute of Development Economics
    Pakistan Institute of Development Economics
    Pakistan Institute of Development Economics was established at Karachi in 1957 and in 1964 accorded the status of an autonomous research organization by the Government of Pakistan. It is devoted to theoretical and empirical research in Development Economics in general and on Pakistan-related...

     (PIDE), from 1980–1994
  • Joint Secretary at Al-Kindi Society for the Advancement of the Philosophy of Science, Islamabad, Pakistan, (1980)
  • Associate Member and Senior Associate of the International Centre for Theoretical Physics
    International Centre for Theoretical Physics
    The Abdus Salam International Centre for Theoretical Physics was founded in 1964 by Pakistani scientist and Nobel Laureate Abdus Salam after consulting with Munir Ahmad Khan. It operates under a tripartite agreement among the Italian Government, UNESCO, and International Atomic Energy Agency...

    , Trieste, Italy, 1980–1999
  • Life member and Vice-President, Albert Einstein Society
    Albert Einstein Society
    The Albert Einstein Society was founded on 28 June 1977 by Dr Max Flückiger. It is located in Bern, Switzerland and is most noted for awarding the Einstein Medal. This medal is awarded to individuals who have made an outstanding contribution to science that is related to the work of Albert Einstein....

     (Pakistan Chapter) (1985 to date)
  • Life Member, Joint Secretary and Secretary, Pakistan Physical Society. (1992 and 1993)
  • Life Member and President, Fulbright Alumni Association, (1992–1993)

Books

  • International Symposium on Experimental Gravitation (1994) by Munawar Karim and Asghar Qadir
  • 5th International Summer College on Physics and Contemporary Needs (1990)
  • Relativity: An Introduction to the Special Theory by Asghar Qadir
  • 12th Regional Conference On Mathematical Physics (2008) by Aslam, M Jamil, Hussain, Faheem, Qadir, Asghar
  • Gravitational Wave Sources May Be "Further" Than We Think by Asghar Qadir
  • On Quantum Effects Near a Black Hole Singularity (2008) by Asghar Qadir, Asghar, Azad A. Siddiqui
  • Mathematical physics: proceedings of the 12th Regional Conference by Riazuddin, Asghar Qadir, Faheem Hussain
    Faheem Hussain
    Faheem Hussain , , was a Pakistani theoretical physicist and a professor of physics at the Lahore University of Management Sciences . A research scientist in the field of Superstring theory at the National Center for Physics, Hussain made contributions to the fields of Superstring theory and string...

    , Hamid Saleem, M. Jamil Aslam.

Conference papers

  • Gravitational Waves Sources May be "Further" Than We Think, Dr. Asghar Qadir, Center for Advanced Mathematics and Physics (CAMP)- National University of Sciences and Technology
  • Riazuddin, as I know him, Center for Advanced Mathematics and Physics (CAMP)- National University of Sciences and Technology

Research papers

  • Primordial Black Holes in Phantom Cosmology (2009) by Mubasher Jamil, Asghar Qadir
  • Gauss-Type Quadrature Rules Based on Identity-Type Functions (2009), M. A. Bokhari, Asghar Qadir
  • Approximate Noether Symmetries of the Geodesic Equations for the Charged-Kerr Spacetime and Rescaling of Energy (2009) by Ibrar Hussain, F. M. Mahomed, Asghar Qadir
  • A Proposal for Determining the Energy Content of Gravitational Waves by Using Approximate Symmetries of Differential Equations (2009) by Ibrar Hussain, F. M. Mahomed, Asghar Qadir
  • Gravitational Wave Sources May Be "Further" Than We Think (2009) by Asghar Qadir
  • Approximate Symmetries of Lagrangians for Plane Symmetric Gravitational Wave-Like Spacetimes (2009) by Ibrar Hussain and Asghar Qadir
  • Another Representation for the Maximal Lie Algebra of sl(n+2,ℝ) in Terms of Operators (2009) by Tooba Feroze, Asghar Qadir
  • Weyl collineations that are not curvature collineations (2008) by Ibrar Hussain, ,Asghar Qadir and K. Saifullah.
  • Charged Black Holes in Phantom Cosmology (2008) by Mubasher Jamil ,Muneer Ahmad Rashid, and Asghar Qadir
  • Black Holes in Bulk Viscous Cosmology (2008). Francesco De Paolis, Mubasher Jamil, Asghar Qadir
  • Comments on "Charged particle dynamics in the field of slowly rotating compact star" (2008) by Jamil Mubasher and Asghar Qadir
  • Second-Order Approximate Symmetries of the Geodesic Equations for the Reissner-Nordstr\"om Metric and Re-Scaling of Energy of a Test Particle (2007) by Hussain, Ibrar, Mahomed, Fazal M., Qadir, Asghar
  • Use of Complex Lie Symmetries for Linearization of Systems of Differential Equations - I: Ordinary Differential Equations (2007) by Ali S. F. M. Mehmood, Asghar Qadir
  • Use of Complex Lie Symmetries for Linearization of Systems of Differential Equations - II: Partial Differential Equations (2007) by F. M. Mehmood, and A. Qadir.
  • Uniqueness of the McVittie Solution as Plane Symmetric Sourceless Electromagnetic Field Spacetimes", Tooba Feroze, Asghar Qadir and M. Ziad, Mod. Phys. Lett. A, Vol. 23, No. 11 (2008) 825-828.
  • Gauss-Bonnet and Lovelock gravities and generalized second law of thermodynamics, M. Akbar and A. Qadir, Chinese Physics Letters 26 260402, 1-4.(2009)

See also

  • Roger Penrose
    Roger Penrose
    Sir Roger Penrose OM FRS is an English mathematical physicist and Emeritus Rouse Ball Professor of Mathematics at the Mathematical Institute, University of Oxford and Emeritus Fellow of Wadham College...

  • Riazuddin
  • Oliver Penrose
    Oliver Penrose
    Oliver Penrose FRS, FRSE is a British theoretical physicist.He is the son of the scientist Lionel Penrose, brother of the mathematical physicist Roger Penrose, and brother of chess master Jonathan Penrose...

  • Partial Differential Equation
    Partial differential equation
    In mathematics, partial differential equations are a type of differential equation, i.e., a relation involving an unknown function of several independent variables and their partial derivatives with respect to those variables...

  • University of Islamabad
  • National University of Sciences and Technology

External links

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