A curvature-based derivation of the Schwarzschild metric

Details A curvature-based derivation of the Schwarzschild metric A curvature-based derivation of the Schwarzschild metric

Dec 1997

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1997amjph..65.1200s&link_type=abstract

American Journal of Physics, Volume 65, Issue 12, pp. 1200-1209 (1997).

Physics

Educational Aids, Classical General Relativity

Scientific paper

We give a derivation of Schwarzschild and other spherically symmetric solutions in general relativity which starts by computing the curvatures directly from Einstein's equations and Bianchi identities, and then derives the metric. This transforms the ``plausibility'' argument for the Schwarzschild metric given by Berry in his book Principles of Cosmology and Gravitation into a complete derivation, which puts the stress from the beginning on the curvatures, the quantities which actually correspond to the gravitational field.

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