REGULARITY THEOREMS IN THE NONSYMMETRIC GRAVITATIONAL THEORY

Regularity theorems are presented for cosmology and gravitational coll apse in non-Riemannian gravitational theories. These theorems establis h conditions necessary to allow the existence of timelike and null pat h complete spacetimes for matter that satisfies the positive energy co ndition. Non-Riemannian theories of gravity can have solutions that ha ve a nonsingular beginning of the universe, and the gravitational coll apse of a star does not lead to a black hole event horizon and a singu larity as a final stage of collapse. A perturbatively consistent versi on of nonsymmetric gravitational theory is studied that, in the long-r ange approximation, has a static spherically symmetric solution which does not have black hole event horizons and has finite curvature invar iants. (C) 1995 American Institute of Physics.