Static spherically symmetric solution (Schwarzschild problem) in isotropic coordinates in Einstein's gravitational theory

Details Static spherically symmetric solution (Schwarzschild problem) in isotropic coordinates in Einstein's gravitational theory Static spherically symmetric solution (Schwarzschild problem) in isotropic coordinates in Einstein's gravitational theory

Oct 1990

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1990an....311..351s&link_type=abstract

Astronomische Nachrichten (ISSN 0004-6337), vol. 311, no. 6, 1990, p. 351-356.

Mathematics

Einstein Equations, Gravitation Theory, Schwarzschild Metric, Unified Field Theory, Continuity (Mathematics), Density (Mass/Volume), Symmetry

Scientific paper

In textbooks the full Schwarzschild problem is usually presented in Schwarzschild coordinates. In the projective unified field theory (PUFT) of Schmutzer (1990), these coordinates lead to specific difficulties, whereas isotropic coordinates give explicit results for the exterior solution. Up to now the interior solution in the PUFT has had to be treated numerically. For such an approach it is useful to know the interior and exterior solution (including matching at the surface of the sphere) of the Schwarzschild problem in isotropic coordinates in the Einstein theory, which can be considered a special case of the PUFT.

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