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Geometric thermodynamics of a schwarzschild-AdS black hole with a cosmological constant as a state variable

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Abstract

The thermodynamics of the Schwarzschild-AdS black hole is reformulated within the context of the recently developed formalism of geometrothermodynamics (GTD). Different choices of the metric in the equilibrium state manifold are used in order to reproduce the Hawking-Page phase transition as a divergence of the thermodynamical curvature scalar. We show that the enthalpy and the total energy representations of GTD do not reproduce the transition while the entropy representation gives the expected behavior.

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Authors and Affiliations

  1. National Astronomical Observatory, National University of Colombia, New York, NY, 10027, USA

    Alexis Larrañga

  2. Department of Physics, National University of Colombia, New York, NY, 10027, USA

    Alejandro Cárdenas

Authors
  1. Alexis Larrañga
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  2. Alejandro Cárdenas
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Correspondence to Alexis Larrañga.

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Larrañga, A., Cárdenas, A. Geometric thermodynamics of a schwarzschild-AdS black hole with a cosmological constant as a state variable. Journal of the Korean Physical Society 60, 987–992 (2012). https://doi.org/10.3938/jkps.60.987

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  • DOI: https://doi.org/10.3938/jkps.60.987

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