Gravitational field energy density for spheres and black holes

Details Gravitational field energy density for spheres and black holes Gravitational field energy density for spheres and black holes

Mar 1985

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985mnras.213p..21l&link_type=abstract

Monthly Notices of the Royal Astronomical Society (ISSN 0035-8711), vol. 213, March 1, 1985, p. 21P-25P.

Statistics

Computation

28

Black Holes (Astronomy), Computational Astrophysics, Flux Density, Gravitational Fields, Rotating Spheres, Relativity, Schwarzschild Metric

Scientific paper

A matter energy equation for special relativity is proposed as the basis for calculating the energy density of spherical systems. A cut of the exterior spacetime of a sphere is mapped into flat space, with matter on the sphere's surface being expressed by gradient discontinuities in the metric tensor of the interior. Curved spacetime outside the altered interior then contains all the matter field energy. The total field energy density is then integrated over a series of remapped cuts of the sphere. If the formulation is correct, then the mass of black hole can be quantified by the field energy surrounding it.

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