Quantum Correction to Hawking Temperature and Thermodynamics of Schwarzschild AdS black holes

TL;DR

This paper investigates quantum corrections to the Hawking temperature and thermodynamic properties of four-dimensional Schwarzschild Anti de Sitter black holes using an effective field theory approach, including corrections up to second order in G.

Contribution

It provides the first detailed computation of quantum corrections to temperature, entropy, and thermodynamic parameters of Schwarzschild AdS black holes up to second order in G.

Findings

Quantum correction to Hawking temperature computed up to order G^2.

Quantum corrected entropy calculated up to order G^2.

Thermodynamic parameters like specific heat, free energy, and pressure are also corrected.

Abstract

We study the quantum corrections to the four-dimensional Schwarzschild Anti de Sitter black hole using effective field theory approach. We compute the quantum correction to Hawking temperature upto order $\mathcal{O}{(G^{2})}$ for a Schwarzschild AdS black hole when the emitted object is massless and massive. We use the expression of the modified horizon radius to compute the quantum corrected entropy upto order $\mathcal{O}{(G^{2})}$. Finally we compute quantum corrected thermodynamic parameters specific heat, free energy and pressure.