Thermodynamic Interpretation of the Field Equations of BTZ Charged Black Hole near the Horizon

Details Thermodynamic Interpretation of the Field Equations of BTZ Charged Black Hole near the Horizon Thermodynamic Interpretation of the Field Equations of BTZ Charged Black Hole near the Horizon

2007-06-12

arxiv.org/abs/0706.1599v3

NuovoCim.B123:227-231,2008

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

5 pages

Scientific paper

10.1393/ncb/i2008-10509-7

As is already known, a spacetime horizon acts like a boundary of a thermal system an we can associate with it notions as temperature and entropy. Following the work of M. Akbar, in this paper we will show how it is possible to interpret the field equation of a charged BTZ black hole near horizon as a thermodynamic identity dE=TdS+PdA+PhidQ, where Phi is the electric potential and Q is the electric charge of BTZ black hole. These results indicate that the field equations for the charged BTZ black hole possess intrinsic thermodynamic properties near horizon.

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