Quantum corrections to the entropy of charged rotating black holes

TL;DR

This paper develops a framework to compute quantum corrections to black hole entropy, applying it to charged rotating black holes like Kerr-Newman and BTZ, and deriving explicit correction formulas.

Contribution

It introduces a general method for calculating quantum entropy corrections for various black hole geometries beyond semiclassical approximations.

Findings

Derived explicit entropy corrections for Kerr-Newman black holes

Extended the framework to charged rotating BTZ black holes

Results applicable to Schwarzschild, Reissner-Nordström, and AdS Schwarzschild black holes

Abstract

Hawking radiation from a black hole can be viewed as quantum tunneling of particles through the event horizon. Using this approach we provide a general framework for studying corrections to the entropy of black holes beyond semiclassical approximations. Applying the properties of exact differentials for three variables to the first law thermodynamics, we study charged rotating black holes and explicitly work out the corrections to entropy and horizon area for the Kerr-Newman and charged rotating BTZ black holes. It is shown that the results for other geometries like the Schwarzschild, Reissner-Nordstr\"{o}m and anti-de Sitter Schwarzschild spacetimes follow easily.