Gravitational energy for spherically symmetric configurations

Details Gravitational energy for spherically symmetric configurations Gravitational energy for spherically symmetric configurations

Oct 1987

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987mnras.228p..51n&link_type=abstract

Monthly Notices of the Royal Astronomical Society (ISSN 0035-8711), vol. 228, Oct. 1, 1987, p. 51P-53P.

Astronomy and Astrophysics

Astronomy

3

Black Holes (Astronomy), Gravitational Fields, Relativity, Schwarzschild Metric, Curvature, Einstein Equations, Horizon

Scientific paper

In contradistinction to the results of Lynden-Bell and Katz (1985), it is shown by physical arguments that the gravitational field energy of a Schwarzschild black hole should lie within the hole's horizon. The present theory is based on the relation between the extrinsic curvature of a spacelike hypersurface embedded in the spacetime, and its scalar curvature. The results are in agreement with the Penrose quasi-local mass which, in the case of Schwarzschild, lies completely inside the hole (Tod, 1983).

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