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Thermodynamics of phantom Reissner-Nordstrom-AdS black hole

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Abstract

We obtain a new solution of the Einstein-anti-Maxwell theory with cosmological constant, called anti-Reissner-Nordstrom-(A)de Sitter (anti-RN-(A)dS) solution. The basic properties of this solution is reviewed. Its thermodynamics is consistently established, with the extreme cases and phase transitions, where the analysis is performed through two methods, the usual one and that of Geometrothermodynamics. The Geometrothermodynamics analysis does not provide a result in agreement with the usual method or by the specific heat. We establish local and global thermodynamic stabilities of anti-RN-AdS solution through the specific heat and the canonical and grand-canonical ensembles.

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Authors and Affiliations

  1. Universidade Federal dos Vales do Jequitinhonha e Mucuri, ICTM, Rua do Cruzeiro, 01, Jardim São Paulo, CEP39803-371, Teofilo Otoni, MG, Brazil

    Deborah F. Jardim

  2. Centro de Ciências Exatas - Departamento de Física, Universidade Federal do Espírito Santo, Av. Fernando Ferrari s/n - Campus de Goiabeiras, CEP29075-910, Vitória/ES, Brazil

    Manuel E. Rodrigues

  3. Departamento de Ciências Naturais - CEUNES, Universidade Federal do Espírito Santo, CEP29933-415, São Mateus/ES, Brazil

    Stéphane J. M. Houndjo

  4. Institut de Mathématiques et de Sciences Physiques (IMSP), 01 BP 613, Porto-Novo, Bénin

    Stéphane J. M. Houndjo

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  1. Deborah F. Jardim
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  2. Manuel E. Rodrigues
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  3. Stéphane J. M. Houndjo
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Correspondence to Deborah F. Jardim.

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Jardim, D.F., Rodrigues, M.E. & Houndjo, S.J.M. Thermodynamics of phantom Reissner-Nordstrom-AdS black hole. Eur. Phys. J. Plus 127, 123 (2012). https://doi.org/10.1140/epjp/i2012-12123-x

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  • DOI: https://doi.org/10.1140/epjp/i2012-12123-x

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