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Thermodynamics of Black Holes in Einstein-Maxwell-Gauss-Bonnet Theory

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Abstract

We study the black hole solution in Einstein-Maxwell-Gauss-Bonnet (EMGB) gravity theory with a cosmological constant in five dimension. It is a generalization of the Reissner-Nordström-de Sitter (RNdS) or RNAdS (Reissner-Nordström-Anti-de Sitter) black hole solutions (according as the cosmological constant is positive or negative) in the Einstein-Gauss-Bonnet (EGB) theory. We analyze the thermodynamic quantities of EMGB black hole and find a restriction involving the charge and the cosmological constant for the existence of an extremal black hole. Finally, Hawking-Page phase transition has been discussed for the present black hole.

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Authors and Affiliations

  1. Department of Mathematics, Jadavpur University, Kolkata-32, India

    Ritabrata Biswas & Subenoy Chakraborty

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  1. Ritabrata Biswas
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  2. Subenoy Chakraborty
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Correspondence to Subenoy Chakraborty.

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Biswas, R., Chakraborty, S. Thermodynamics of Black Holes in Einstein-Maxwell-Gauss-Bonnet Theory. Int J Theor Phys 49, 152–161 (2010). https://doi.org/10.1007/s10773-009-0188-6

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  • DOI: https://doi.org/10.1007/s10773-009-0188-6

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