On Gravitational Collapse in the Nonsymmetric Gravitational Theory

Abstract

The analytical structure of the difference between the static vacuum solution in the nonsymmetric gravitational theory (NGT) and the Schwarzschild solution of Einstein&#39;s gravitational theory (EGT) is studied. It is proved that a smooth matching of the solutions does not exist in the range $0 < r \leq 2M$, 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.