Rotating black holes in Eddington-inspired Born-Infeld gravity: an exact solution

TL;DR

This paper derives an exact rotating charged black hole solution in Eddington-inspired Born-Infeld gravity using a novel mapping technique from known solutions in General Relativity, with implications for astrophysics and gravitational wave observations.

Contribution

It introduces a new exact solution for rotating charged black holes in Eddington-inspired Born-Infeld gravity via a mapping from Kerr-Newman solutions, advancing the understanding of modified gravity models.

Findings

Derived an exact rotating charged black hole solution in Eddington-inspired Born-Infeld gravity.

Analyzed physical features of the solution in both spherically symmetric and rotating regimes.

Discussed implications for astrophysical observations and gravitational wave detection.

Abstract

We find an exact, rotating charged black hole solution within Eddington-inspired Born-Infeld gravity. To this end we employ a recently developed correspondence or {\it mapping} between modified gravity models built as scalars out of contractions of the metric with the Ricci tensor, and formulated in metric-affine spaces (Ricci-Based Gravity theories) and General Relativity. This way, starting from the Kerr-Newman solution, we show that this mapping bring us the axisymmetric solutions of Eddington-inspired Born-Infeld gravity coupled to a certain model of non-linear electrodynamics. We discuss the most relevant physical features of the solutions obtained this way, both in the spherically symmetric limit and in the fully rotating regime. Moreover, we further elaborate on the potential impact of this important technical progress for bringing closer the predictions of modified gravity with the astrophysical observations of compact objects and gravitational wave astronomy.