On the formation of black holes in non-symmetric gravity

TL;DR

This paper investigates the linear non-symmetric gravitational theory and finds that black hole formation is possible if the initial skew field is small, challenging previous claims that NGT is free of black holes.

Contribution

It demonstrates that even in the linear regime, non-symmetric gravity can lead to black hole formation under certain initial conditions.

Findings

Skew part of the metric is generally non-static even with spherical symmetry.

A regular initial skew field remains regular at the horizon.

Black hole formation is possible if the initial skew field is sufficiently small.

Abstract

It has been recently suggested that the Non-symmetric Gravitational Theory (NGT) is free of black holes. Here, we study the linear version of NGT. We find that even with spherical symmetry the skew part of the metric is generally non-static. In addition, if the skew field is initially regular, it will remain regular everywhere and, in particular, at the horizon. Therefore, in the fully-nonlinear theory, if the initial skew-field is sufficiently small, the formation of a black hole is to be anticipated.