Generalized second law of thermodynamics for a phantom energy accreting BTZ black hole

TL;DR

This paper investigates how phantom energy accretion affects (2+1)-dimensional BTZ black holes, revealing unique mass evolution behavior and establishing thermodynamic conditions at the event horizon.

Contribution

It demonstrates that, unlike Schwarzschild black holes, BTZ black hole mass change depends only on phantom energy properties, and derives a thermodynamic bound on phantom energy pressure.

Findings

Black hole mass decreases due to phantom energy accretion.

Mass evolution is independent of black hole mass in BTZ case.

A lower bound on phantom energy pressure is established.

Abstract

In this paper, we have studied the accretion of phantom energy on a (2+1)-dimensional stationary Banados-Teitelboim-Zanelli (BTZ) black hole. It has already been shown by Babichev et al that for the accretion of phantom energy onto a Schwarzschild black hole, the mass of black hole would decrease and the rate of change of mass would be dependent on the mass of the black hole. However, in the case of (2+1)-dimensional BTZ black hole, the mass evolution due to phantom accretion is independent of the mass of the black hole and is dependent only on the pressure and density of the phantom energy. We also study the generalized second law of thermodynamics at the event horizon and construct a condition that puts an lower bound on the pressure of the phantom energy.