Ozváth-Schücking metric
Encyclopedia
In Einstein's theory of 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...

, the Ozsváth–Schücking metric, or the Ozsváth–Schücking solution, is a rotating vacuum solution to the field equations
Einstein field equations
The Einstein field equations or Einstein's equations are a set of ten equations in Albert Einstein's general theory of relativity which describe the fundamental interaction of gravitation as a result of spacetime being curved by matter and energy...

, published by István Ozsváth and Engelbert Schücking
Engelbert Schücking
Engelbert Schücking is a physics professor at New York University in New York City. His research interests are theoretical astrophysics, general relativity and cosmology...

 in 1962. The paper abstract reads:
In Cartesian coordinates the metric has the form


This metric stands in contradiction to a statement of Mach's principle by F. Pirani that goes "In the absence of matter, space-time should necessarily be Minkowskian."
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