Dirac-Born-Infeld Counter-Term and Black Hole Thermodynamics

TL;DR

This paper revisits the Dirac-Born-Infeld boundary counter-term in four-dimensional gravity, demonstrating its effectiveness in background subtraction and reproducing black hole thermodynamics for both AdS and flat geometries.

Contribution

It introduces a refined boundary counter-term that accurately handles background subtraction and thermodynamics in diverse gravitational settings.

Findings

Correctly performs background subtraction for AdS and flat geometries.

Reproduces dyonic black hole thermodynamics in different asymptotics.

Validates the counter-term's role in local thermodynamics analysis.

Abstract

We revisit the Dirac-Born-Infeld--like boundary counter-term for four dimensional theory of gravity. We show that it correctly executes complete background subtraction for both asymptotically AdS and asymptotically flat geometries. With an appropriate choice of ensemble, we reproduce dyonic black hole thermodynamics with both types of asymptotics by studying local thermodynamics on the cut-off surface.