1995/10/13 by J. W. Moffat, Moffat, J. W., I. Yu. Sokolov +2
Physics and Astronomy · #Astrophysics (astro-ph) #Cosmology and Gravitation Theories #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Pulsars and Gravitational Waves Research #Relativity and Gravitational Theory #astro-ph #gr-qc
paper · pdf · doi:10.48550/arxiv.astro-ph/9510068
16 pages, REVTeX 3.0
arxiv created 1995/10/13 · openalex publication_date 1995/10/13 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The analytical structure of the difference between the static vacuum solution in the nonsymmetric gravitational theory (NGT) and the Schwarzschild solution of Einstein's gravitational theory (EGT) is studied. It is proved that a smooth matching of the solutions does not exist in the range 0 < r ≤ 2M, for any non-zero values of the parameters M and s of the NGT solution. This means that one cannot consider the difference between the two solutions using perturbation theory in this range of r. Assuming that the exterior solution in gravitational collapse is a small, time dependent perturbation of the static solution for a non-zero, generic NGT source (s\not=0) and mass density, it is shown that the matching of the interior and exterior solutions will not lead to black hole event horizons.