Astronomy and Astrophysics – Astrophysics
Scientific paper
Aug 1980
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1980apj...239.1032r&link_type=abstract
Astrophysical Journal, Part 1, vol. 239, Aug. 1, 1980, p. 1032-1035.
Astronomy and Astrophysics
Astrophysics
5
Astrophysics, Gravitational Collapse, Relativity, Stellar Evolution, Astronomical Models, Schwarzschild Metric, Stellar Mass
Scientific paper
From the field equations of the bimetric general relativity theory one finds that, as the end product of gravitational collapse, there exists a collapsed state of a star in which the Schwarzschild sphere is completely filled with matter of uniform density and pressure. The mass is given by 8(pi)(m sq) = 1/(rho - P). In the case of pressureless matter the metric is continuous on the stellar surface. In the case of nonzero pressure there is a discontinuity of the metric across this surface. Inside the collapsed object the physical metric has the same form as that of an Einstein closed universe.
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