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Static spherically symmetric solution (Schwarzschild problem) in isotropic coordinates in Einstein's gravitational theory
Author(s) -
Schmutzer E.
Publication year - 1990
Publication title -
astronomische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.394
H-Index - 63
eISSN - 1521-3994
pISSN - 0004-6337
DOI - 10.1002/asna.2113110606
Subject(s) - schwarzschild radius , deriving the schwarzschild solution , schwarzschild metric , bipolar coordinates , schwarzschild geodesics , isotropy , physics , action angle coordinates , classical mechanics , gravitational field , orthogonal coordinates , prolate spheroidal coordinates , einstein , log polar coordinates , kerr metric , gravitation , generalized coordinates , homogeneous coordinates , mathematical physics , general relativity , geometry , mathematics , quantum mechanics
Abstract In textbooks the full Schwarzschild problem is usually presented in Schwarzschild coordinates. In the Projective Unified Field Theory (PUFT) these coordinates lead to specific difficulties, whereas isotropic coordinates have the advantage to give explicit results for the exterior solution. Up to now the interior solution in 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 PUFT.