Charged BTZ-type solutions in Eddington-inspired Born-Infeld gravity

TL;DR

This paper develops new charged black hole solutions in Eddington-inspired Born-Infeld gravity, revealing modifications to horizons, ergospheres, and wormhole structures, and analyzing their regularity and geodesic completeness.

Contribution

It introduces a method to generate solutions in Eddington-inspired Born-Infeld gravity from known GR solutions, specifically extending the charged BTZ black hole.

Findings

Modified horizons and ergospheres in the new solutions

Emergence of wormhole structures

Insights into the regularity and geodesic completeness

Abstract

We construct an axially symmetric solution of Eddington-inspired Born-Infeld gravity coupled to an electromagnetic field in 2+1 dimensions including a (negative) cosmological constant term. This is achieved by using a recently developed mapping procedure that allows to generate solutions in certain families of metric-affine gravity theories starting from a known seed solution of General Relativity, which in the present case corresponds to the electrically charged Banados-Teitelboim-Zanelli (BTZ) solution. We discuss the main features of the new configurations, including the modifications to the ergospheres and horizons, the emergence of wormhole structures, and the consequences for the regularity (or not) of these space-times via geodesic completeness.