Regularity Theorems in the Nonsymmetric Gravitational Theory

TL;DR

This paper develops regularity theorems for non-Riemannian gravitational theories, showing they can produce non-singular cosmological and collapse solutions, potentially eliminating black holes and resolving the information loss paradox.

Contribution

It introduces regularity theorems for nonsymmetric gravitational theories, demonstrating their ability to avoid singularities and black holes in cosmology and gravitational collapse.

Findings

Solutions with non-singular beginnings of the universe.

Collapse scenarios without black hole horizons.

Finite curvature invariants in nonsymmetric solutions.

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 non-singular 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 nonsingular static spherically symmetric solution which is path complete, does not have black hole event horizons and has finite curvature invariants. The theory satisfies the regularity theorems for cosmology and gravitational collapse. The elimination of black holes resolves the information loss puzzle.