Thermodynamics of Born-Infeld Black Holes

TL;DR

This paper analyzes the horizon structure and entropy of Born-Infeld black holes within Einstein-Born-Infeld gravity, confirming the entropy function formalism's validity and extending it to include additional fields and corrections.

Contribution

It demonstrates the agreement of the entropy function formalism with direct entropy calculations for Born-Infeld black holes and extends the formalism to systems with axion-dilaton fields and derivative corrections.

Findings

Entropy function formalism matches direct entropy calculations.

Extended entropy analysis to axion-dilaton systems.

Validated formalism with gravitational derivative corrections.

Abstract

We discuss the horizon structure for Born-Infeld black holes, in the context of Einstein-Born-Infeld gravity. We show that the entropy function formalism agrees with a direct calculation of the entropy. With the entropy function formalism we also obtain the entropy when an axion-dilaton system as well as gravitational derivative corrections are included.