2021
DOI: 10.48550/arxiv.2111.08984
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Correlation of Horizons and Black Hole Thermodynamics

Abstract: For black holes with more than one horizon, the existence of a global temperature is not fully understood. This can affect the thermodynamics of these black holes to be unclear. In this paper, using the method of quantum tunneling, we find a global temperature for asymptotically AdS multi-horizon black holes appeared in three dimensional quasitopological gravities. We also find a global temperature for the asymptotically warped AdS 3 black holes. In all of the cases the global temperature differs from the conv… Show more

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Cited by 2 publications
(2 citation statements)
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“…The same was found for the Schwarzschild-de Sitter black hole [36,37], with and being the temperatures of the cosmological horizon and the black hole horizon correspondingly. On the other hand, the total entropy of the RN black hole is not necessarily the sum of the entropies of the inner and outer horizons due to correlations between the two horizons, see, e.g., [25,[38][39][40][41][42][43]. In addition, the consideration of the black holes in the de Sitter environment requires…”
Section: Sum Rule For Temperaturementioning
confidence: 99%
“…The same was found for the Schwarzschild-de Sitter black hole [36,37], with and being the temperatures of the cosmological horizon and the black hole horizon correspondingly. On the other hand, the total entropy of the RN black hole is not necessarily the sum of the entropies of the inner and outer horizons due to correlations between the two horizons, see, e.g., [25,[38][39][40][41][42][43]. In addition, the consideration of the black holes in the de Sitter environment requires…”
Section: Sum Rule For Temperaturementioning
confidence: 99%
“…The same was found for the Schwarzschild-de Sitter black hole [36,37], with T + and T − being the temperatures of the cosmological horizon and the black hole horizon correspondingly. On the other hand, the total entropy of the RN black hole is not necessarily the sum of the entropies of the inner and outer horizons due to correlations between the two horizons, see, e.g., [25,[38][39][40][41][42][43]. Also the consideration of the black holes in the de Sitter environment requires the use of special modifications of the Painleve-Gullstrand coordinates [44], which may modify the thermodynamics.…”
Section: Introductionmentioning
confidence: 99%