Finding space-time geometries without using a metric

Details Finding space-time geometries without using a metric Finding space-time geometries without using a metric

Jul 1983

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1983gregr..15..597k&link_type=abstract

General Relativity and Gravitation, Volume 15, Issue 7, pp.597-610

Physics

15

Scientific paper

A new method for obtaining solutions to Einstein's field equations is presented. It is based on the description of a geometry in terms of the curvature tensor and a number of its covariant derivatives. These entities are used instead of the metric. Physical requirements, such as symmetries, are easily imposed in this picture. An example, including the Schwarzschild geometry, is discussed in detail, but no attempts to find new solutions are made.

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