Quantum corrections to the entropy of Einstein-Maxwell dilaton-axion black holes

TL;DR

This paper investigates quantum corrections to the entropy of Einstein-Maxwell dilaton-axion black holes, deriving these corrections through thermodynamic principles and extending the results to simpler black hole models.

Contribution

It introduces a general framework for calculating entropy corrections of complex black holes using the first law of thermodynamics, applicable to various black hole types.

Findings

Derived quantum entropy corrections for Einstein-Maxwell dilaton-axion black holes.

Extended the correction framework to Schwarzschild, Reissner-Nordström, and anti-de Sitter black holes.

Presented a modified area law incorporating quantum effects.

Abstract

We study the corrections to the entropy of Einstein-Maxwell dilaton-axion black holes beyond semiclassical approximations. We consider the entropy of the black hole as a state variable and derive these corrections using the exactness criteria of the first law of thermodynamics. We note that from this general frame-work the entropy corrections for "simpler" black holes like Schwarzschild, Reissner-Nordstr\"{o}m and anti-de Sitter-Schwarzschild black holes follow easily. This procedure gives us the modified area law as well.