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Thermodynamics of multi-horizon spacetimes

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Abstract

There exist several well-established procedures for computing thermodynamics for a single horizon spacetime. However, for a spacetime with multi-horizon, the thermodynamics is not very clear. It is not fully understood whether there exists a global temperature for the multi-horizon spacetime or not. Here we show that a global temperature can exist for Schwarzschild-de Sitter spacetime, Reissner-Nordstrom-de Sitter spacetime, and rotating BTZ black hole. This temperature does not coincide with the conventional Hawking temperature related to the outer horizon. We also show that the total entropy for these spacetimes can not be determined only by the outer horizon. The correlations between the horizons of these spacetimes determine it.

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Acknowledgements

I thank Sumanta Chakraborty, Habib Ahammad Mondal, and Sudip Mandal for many useful discussions. I also thank the Saha Institute of Nuclear Physics (SINP) Kolkata for financial support.

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  1. Theory Division, Saha Institute of Nuclear Physics, Kolkata, 700064, India

    Chiranjeeb Singha

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Singha, C. Thermodynamics of multi-horizon spacetimes. Gen Relativ Gravit 54, 38 (2022). https://doi.org/10.1007/s10714-022-02924-5

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