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arXiv · 2309.08645

Hawking temperature of black holes with multiple horizons

Chiranjeeb Singha·Pritam Nanda·Pabitra Tripathy
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Abstract

There are several well-established methods for computing thermodynamics in single-horizon spacetimes. However, understanding thermodynamics becomes particularly important when dealing with spacetimes with multiple horizons. Multiple horizons raise questions about the existence of a global temperature for such spacetimes. Recent studies highlight the significant role played by the contribution of all the horizons in determining Hawking temperature. Here we explore the Hawking temperature of a rotating and charged black hole in four spacetime dimensions and a rotating BTZ black hole. We also find that each horizon of those black holes contributes to the Hawking temperature. The effective Hawking temperature for a four-dimensional rotating and charged black hole depends only on its mass. This temperature is the same as the Hawking temperature of a Schwarzschild black hole. In contrast, the effective Hawking temperature depends on the black hole mass and angular momentum for a rotating BTZ hole.

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Chiranjeeb Singha, Pritam Nanda, Pabitra Tripathy. 2023-09-15. Hawking temperature of black holes with multiple horizons. https://doi.org/10.1007/s10714-023-03154-z

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