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Geometry of the thermodynamics of the black holes in Hořava-Lifshitz gravity

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Abstract

Recently, a non-relativistic renormalizable theory of gravity has been proposed by Hořava. This theory is essentially a field theoretic model for a UV complete theory of gravity and it reduces to Einstein’s general relativity at large distances. Subsequently, Cai and his collaborators have obtained black hole solution in this gravity theory and studied the thermodynamic properties of the black hole solutions. In present work, we investigate the geometric thermodynamics of the above black hole solutions and examine the possibilities of any phase transition.

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Authors and Affiliations

  1. Department of Mathematics, Jadavpur University, Kolkata, 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. Geometry of the thermodynamics of the black holes in Hořava-Lifshitz gravity. Gen Relativ Gravit 43, 41–50 (2011). https://doi.org/10.1007/s10714-010-1067-4

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