Entropy bound in Einstein-Born-Infeld black holes

TL;DR

This paper investigates the validity of Bekenstein's entropy bound for charged black holes within Einstein-Born-Infeld theory, revealing violations of the original bound and proposing a modified entropy limit dependent on the theory's parameters.

Contribution

It demonstrates that Bekenstein's entropy bound is violated in Einstein-Born-Infeld black holes and introduces a modified bound considering nonlinear electrodynamics effects.

Findings

Bekenstein's entropy bound is violated in this context

A modified entropy bound depending on the Born-Infeld parameter is proposed

The study involves absorption of charged particles by black holes

Abstract

We study the validity of Bekenstein's entropy bound for a charged black hole in the context of nonlinear electrodynamics. Bekenstein's inequalities are commonly understood as universal relations between the entropy, the charge, the momentum, and the energy of a physical system but independent of its dynamics. In particular, we consider the Born-Infeld electrodynamics coupled to gravity as described by General Relativity. Following the steps that lead to these inequalities, we study the absorption of a charged test particle by the black hole and verify that the entropy bound is violated. We find a modified upper bound for the entropy that depends on the maximum field parameter of the Born-Infeld theory.