Thermodynamics of Phantom Energy Accreting onto a Black Hole in Einstein-Power-Maxwell Gravity

TL;DR

This paper studies how phantom energy accretes onto 3D black holes in Einstein-Power-Maxwell gravity, analyzing the thermodynamics involved and conditions for critical accretion, with implications for black hole thermodynamics laws.

Contribution

It introduces the conditions for critical phantom energy accretion onto 3D black holes within Einstein-Power-Maxwell theory and examines the thermodynamic laws in this context.

Findings

First law of thermodynamics is satisfied during accretion.

Second law and generalized second law are invalid or conditionally valid.

Results reduce to BTZ black hole case when Maxwell contribution is zero.

Abstract

In this paper, we investigate the phantom energy accretion onto 3D black hole formulated in Einstein-Power-Maxwell theory. We have presented the conditions for critical accretion of phantom energy onto black hole. Further, we discuss the thermodynamics of phantom energy accreting onto black hole and found that first law of thermodynamics is easily satisfied while second law and generalized second law of thermodynamics remain invalid and conditionally valid, respectively. The results for BTZ black hole can be recovered by taking Maxwellian contribution equal to zero.