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Conformally invariant thermodynamics of a Maxwell-Dilaton black hole

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Abstract

The thermodynamics of Maxwell-Dilaton black holes has been extensively studied. It has served as a fertile ground to test ideas about temperature through various definitions of surface gravity. In this paper, we make an independent analysis of this black hole solution in both, Einstein and Jordan, frames. We explore a set of definitions for the surface gravity and observe the different predictions they make for the near extremal configuration of this black hole. Finally, motivated by the singularity structure in the interior of the event horizon, we use a holographic argument to remove the micro-states from the disconnected region of this solution. In this manner, we construct a frame independent entropy from which we obtain a temperature which agrees with the standard results in the non-extremal regime, and has a desirable behaviour around the extremal configurations according to the third law of black hole mechanics.

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Acknowledgments

FN receives support from DGAPA-UNAM (postdoctoral fellowship). CSLM would like to thank the Wigner Institute for their kind hospitality during the writing of this manuscript and to CONACYT Grant No. 290679_UNAM. This work was supported by CONACYT project No. 166391 and DGAPA-UNAM No. IN106110. The authors are thankful to the anonymous referees for their useful comments.

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Authors and Affiliations

  1. Instituto de Ciencias Nucleares, Universidad Nacional Autónoma de México, A. P. 70-543, México, DF, 04510, México

    C. S. Lopez-Monsalvo & H. Quevedo

  2. Departamento de Física, Fac. de Ciencias, Universidad Nacional Autónoma de México, A. P. 50-542, México, DF, 04510, México

    F. Nettel

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  1. C. S. Lopez-Monsalvo
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  2. F. Nettel
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  3. H. Quevedo
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Correspondence to C. S. Lopez-Monsalvo.

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Lopez-Monsalvo, C.S., Nettel, F. & Quevedo, H. Conformally invariant thermodynamics of a Maxwell-Dilaton black hole. Gen Relativ Gravit 45, 2553–2568 (2013). https://doi.org/10.1007/s10714-013-1604-z

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  • DOI: https://doi.org/10.1007/s10714-013-1604-z

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