Regularity theorems in the nonsymmetric gravitational theory

Publisher Website
Google Scholar
Abstract
Regularity theorems are presented for cosmology and gravitational collapse in non‐Riemannian gravitational theories. These theorems establish conditions necessary to allow the existence of timelike and null path complete spacetimes for matter that satisfies the positive energy condition. Non‐Riemannian theories of gravity can have solutions that have a nonsingular beginning of the universe, and the gravitational collapse of a star does not lead to a black hole event horizon and a singularity as a final stage of collapse. A perturbatively consistent version of nonsymmetric gravitational theory is studied that, in the long‐range approximation, has a static spherically symmetric solution which does not have black hole event horizons and has finite curvature invariants.

This publication has 25 references indexed in Scilit: