Dirac-Born-Infeld counter-term and black hole thermodynamics

Abstract

Abstract We revisit the Dirac-Born-Infeld–like boundary counter-term for the four-dimensional theory of gravity. We show that it correctly executes complete background subtraction for both asymptotically Anti-de Sitter 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.