The Dynamical Instability of Static, Spherically Symmetric Solutions in Nonsymmetric Gravitational Theories

TL;DR

This paper investigates the stability of static, spherically symmetric solutions in nonsymmetric gravitational theories, finding that the well-known Wyman solutions are generally unstable under perturbations.

Contribution

The study numerically reproduces the Wyman solution and introduces new solutions with a fundamental length scale, analyzing their stability properties.

Findings

Wyman solutions are generically unstable.

New solutions with a nontrivial length scale are generated.

Numerical methods are used to analyze stability.

Abstract

We consider the dynamical stability of a class of static, spherically-symmetric solutions of the nonsymmetric gravitational theory. We numerically reproduce the Wyman solution and generate new solutions for the case where the theory has a nontrivial fundamental length scale \mu^{-1}. By considering spherically symmetric perturbations of these solutions we show that the Wyman solutions are generically unstable.