Entropy bound in Einstein-Born-Infeld 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.

13 pages, 5 figures

References in corpus (3)

• Thermodynamics of Born-Infeld Black Holes
• Entropy bounds and nonlinear electrodynamics
• Bekenstein Inequalities and Nonlinear Electrodynamics

Cited by in corpus (5)

• Observational Appearances of Magnetically Charged Black Holes in Born-Infeld Electrodynamics
• Non-linear electrodynamics non-minimally coupled to gravity:symmetric-hyperbolicity and causal structure
• Magnetic black holes within Einstein-AdS gravity coupled to nonlinear electrodynamics, extended phase space thermodynamics and Joule-Thomson expansion
• Born-Infeld boson stars
• On the radiation field of a linearly accelerated charged particle in Born-Infeld theory