Inner Structure of Black Holes in Eddington-inspired Born-Infeld gravity: the role of mass inflation

TL;DR

This paper explores how accretion influences the internal structure of black holes in Eddington-inspired Born-Infeld gravity, revealing a threshold for mass inflation and differences from general relativity.

Contribution

It demonstrates the impact of accretion rates on mass inflation and identifies a maximum energy density inside black holes in this modified gravity theory.

Findings

Mass inflation occurs only above a certain accretion rate.

Mass inflation halts at a maximum energy density lower than the fundamental density.

Accretion significantly alters black hole interior dynamics in this theory.

Abstract

We investigate the interior dynamics of accreting black holes in Eddington-inspired Born-Infeld gravity using the homogeneous approximation and taking charge as a surrogate for angular momentum, showing that accretion can have an enormous impact on their inner structure. We find that, unlike in general relativity, there is a minimum accretion rate bellow which the mass inflation instability, which drives the centre-of-mass streaming density to exponentially high values in an extremely short interval of time, does not occur. We further show that, above this threshold, mass inflation takes place inside black holes very much in the same way as in general relativity, but is brought to a halt at a maximum energy density which is, in general, much smaller than the fundamental energy density of the theory. We conjecture that some of these results may be a common feature of modified gravity theories in which significant deviations from general relativity manifest themselves at very high densities.