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

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

2010-05-19

arxiv.org/abs/1005.3444v2

Gen.Rel.Grav.43:1061-1068,2011

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

4 pages, accepted for publication in Gen. Relativ. Grav

Scientific paper

10.1007/s10714-010-1024-2

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.

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