Charged Rotating BTZ Black Hole and Thermodynamic Behavior of Field Equations at its Horizon

Details Charged Rotating BTZ Black Hole and Thermodynamic Behavior of Field Equations at its Horizon Charged Rotating BTZ Black Hole and Thermodynamic Behavior of Field Equations at its Horizon

2010-09-20

arxiv.org/abs/1009.3749v1

Physics Letters B 656 (2007) 217-220

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

12 pages, 3 figures

Scientific paper

In this paper, we study different cases of the charged rotating BTZ black hole with reference to their horizons. For the existence of these cases conditions on mass, charge and angular momentum of the black hole are obtained. It is also shown that the Einstein field equations for the charged rotating BTZ black hole at the horizon can be expressed as first law of thermodynamics, $dE=TdS+\Omega dJ+\Phi dq+P_{r}dA$.

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