Born-Regulated Gravity in Four Dimensions

TL;DR

This paper extends Born-regulated gravity theories from two to four dimensions, analyzing black hole solutions and discovering a critical mass below which the event horizon vanishes, resulting in a horizonless but non-singular object.

Contribution

It introduces a four-dimensional Born-regulated gravity model with two parameters and studies black hole solutions, revealing a critical mass threshold for horizon existence.

Findings

Black holes exist above a critical mass threshold.

Below the threshold, black holes lose their event horizon.

The model produces horizonless, non-singular objects.

Abstract

Previous work involving Born-regulated gravity theories in two dimensions is extended to four dimensions. The action we consider has two dimensionful parameters. Black hole solutions are studied for typical values of these parameters. For masses above a critical value determined in terms of these parameters, the event horizon persists. For masses below this critical value, the event horizon disappears, leaving a ``bare mass'', though of course no singularity.