Thermodynamics of phantom energy in the presence of a Reissner-Nordstrom black hole

Details Thermodynamics of phantom energy in the presence of a Reissner-Nordstrom black hole Thermodynamics of phantom energy in the presence of a Reissner-Nordstrom black hole

2011-06-09

arxiv.org/abs/1106.1763v1

Astrophys.Space Sci.335:339-343,2011

Physics

General Physics

5 pages, Accepted for publication in Astrophysics & Space Science

Scientific paper

10.1007/s10509-011-0762-2

In this paper, we study the validity of the generalized second law (GSL) in phantom dominated universe in the presence of a Reissner-Nordstr\"{o}m (RN) black hole. Our study is independent of the origin of the phantom like behavior of the considered universe. We also discuss the GSL in the neighborhood of transition from quintessence to phantom regime. We show that for a constant equation of state parameter, the GSL may be satisfied provided that the temperature is proportional to de Sitter temperature. It is shown that in models with (only) a transition from quintessence to phantom regime the generalized second law does not hold in the transition epoch. Next we show that if the phantom energy has a chemical potential, then the GSL will hold if the mass of black hole is above from a critical value.

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