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

Astronomische Nachrichten
 Pub Date:
 October 1990
 DOI:
 10.1002/asna.2113110606
 Bibcode:
 1990AN....311..351S
 Keywords:

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