Consistency of the Nonsymmetric Gravitational Theory

TL;DR

This paper introduces a ghost-free nonsymmetric gravitational theory (NGT) with stable solutions, including a regular, horizonless spherically symmetric solution, and proves an extended Birkhoff theorem within this framework.

Contribution

It presents a new NGT free of ghosts and tachyons, establishing an extended Birkhoff theorem and analyzing regular, horizonless solutions in the short-range approximation.

Findings

NGT is free of ghost poles, tachyons, and higher-order poles.

A static spherically symmetric solution is regular and horizonless.

An extended Birkhoff theorem holds for the NGT.

Abstract

A nonsymmetric gravitational theory (NGT) is presented which is free of ghost poles, tachyons and higher-order poles and there are no problems with asymptotic boundary conditions. An extended Birkhoff theorem is shown to hold for the spherically symmetric solution of the field equations. A static spherically symmetric solution in the short-range approximation, $\mu^{-1} > 2m$, is everywhere regular and does not contain a black hole event horizon.