Linearisation Instabilities of the Massive Nonsymmetric Gravitational Theory

TL;DR

This paper demonstrates that the massive nonsymmetric gravitational theory exhibits linearisation instabilities at general relativity configurations, making linear approximations invalid and leading to singular evolutions without specific initial data conditions.

Contribution

It reveals the presence of linearisation instabilities and singular evolution issues in the massive nonsymmetric gravitational theory at GR configurations.

Findings

Linearisation instability occurs at GR configurations.

Arbitrarily small antisymmetric data can cause singular evolution.

Imposing specific initial data conditions can prevent singularities.

Abstract

The massive nonsymmetric gravitational theory is shown to posses a linearisation instability at purely GR field configurations, disallowing the use of the linear approximation in these situations. It is also shown that arbitrarily small antisymmetric sector Cauchy data leads to singular evolution unless an ad hoc condition is imposed on the initial data hypersurface.