Journal
GENERAL RELATIVITY AND GRAVITATION
Volume 43, Issue 4, Pages 1061-1068Publisher
SPRINGER/PLENUM PUBLISHERS
DOI: 10.1007/s10714-010-1024-2
Keywords
BTZ black hole; Accretion; Dark energy; Generalized second law of thermodynamics
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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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