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Thermodynamics of a Static Dilaton Black Hole |
JING Ji-liang |
Institute of Physics and Department of Physics, Hunan Normal University, Changsha 410081 |
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Cite this article: |
JING Ji-liang 1997 Chin. Phys. Lett. 14 81-84 |
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Abstract The thermodynamics of a static dilaton black hole is investigated by Euclidean path integral. Four interesting results are obtained: (I) Although the temperature, heat capacity and chemical potential have different forms as compared to general classical static charged black hole, the Bardeen-Carter-Hawking thermodynamical laws are valid for the black hole. (II) The entropy and area of the event horizon are zero but the energy, temperature and surface gravity are non-zero for extremal case ( rh = 2M = b). (III) The charged black hole does not possess second order phase transitions as the Reissner-Nordström black hole since its heat capacity is negative. (IV) The action is equal to the entropy, and both quantities coincide with one quarter of area of the event horizon.
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Keywords:
04.60.+n
97.60.Lf
04.65.+e
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Published: 01 February 1997
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