Thermodynamics of a Schwarzschild Black Hole in Phantom Cosmology with Entropy Corrections

TL;DR

This paper investigates how quantum entropy corrections affect the thermodynamics of Schwarzschild black holes accreting phantom energy, deriving conditions for the generalized second law and bounds on black hole mass.

Contribution

It extends previous work by incorporating quantum entropy corrections into the thermodynamics of black hole and cosmological horizons in phantom energy scenarios.

Findings

GSL imposes restrictions on black hole mass during phantom energy accretion.

Quantum entropy corrections influence the validity of the generalized second law.

Upper bounds on black hole mass are derived to prevent GSL violation.

Abstract

Motivated by some earlier works \cite{pavon,sadjadi} dealing with the study of generalized second law (GSL) of thermodynamics for a system comprising of a Schwarzschild black accreting a test non-self-gravitating fluid namely phantom energy in FRW universe, we extend them when the entropy of horizons of black hole and the cosmological undergo quantum corrections. Two types of such corrections are relevant here including logarithmic and power-law, while both are motivated from different theoretical backgrounds. We obtain general mathematical conditions for the validity of GSL in each case. Further we find that GSL restricts the mass of black hole for accretion of phantom energy. As such we obtain upper bounds on the mass of black hole above which the black hole cannot accrete the phantom fluid, otherwise the GSL is violated.