Thermodynamics of a Static Dilaton Black Hole

Physics

Scientific paper

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Scientific paper

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 diferent 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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