| Original Articles |
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Thermodynamic Interpretation of Field Equations at Horizon of BTZ Black Hole |
| M. Akbar |
| Institute of Theoretical Physics, Chinese Academy of Sciences, PO Box 2735, Beijing 100080 |
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| Cite this article: |
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M. Akbar 2007 Chin. Phys. Lett. 24 1158-1161 |
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Abstract A spacetime horizon comprising with a black hole singularity acts like a boundary of a thermal system associated with the notions of temperature
and entropy. In the case of static metric of Banados--Teitelboim--Zanelli (BTZ) black hole, the field equations near the horizon boundary can be expressed as a thermal identity dE = TdS + PrdA, where E = M is the mass of BTZ black hole, dA is the change in the area of the black hole horizon when the horizon is displaced infinitesimally small, Pr is the radial pressure provided by the source of Einstein equations, S= 4πa is the entropy and T =k/2π is the Hawking temperature associated with the horizon. This approach is studied further to generalize it for non-static BTZ black hole, showing that it is also possible to interpret the field equation near horizon as a thermodynamic identity dE = TdS + PrdA +Ω+dJ, where Ω+ is the angular velocity and J is the angular momentum of BTZ black hole. These results indicate that the field equations for BTZ black hole possess intrinsic thermodynamic properties near the horizon.
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| Keywords:
04.70.Dy
97.60.Lf
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Received: 15 February 2007
Published: 23 April 2007
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| PACS: |
04.70.Dy
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(Quantum aspects of black holes, evaporation, thermodynamics)
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97.60.Lf
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(Black holes)
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