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arXiv · 2206.12466

Enhanced symmetry and Entropy of Schwarzschild-deSitter spacetime

D. Guerrero-Dominguez·P. Talavera
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Abstract

In this paper we show that the equation of motion of a massless scalar particle near the black hole (BH) horizon in the Schwarzschild-deSitter (SdS) spacetime enjoys a hidden conformal symmetry when the two horizons satisfy a quadratic relation, not related with the Nariai limit. This hidden symmetry is $SL(2,\mathbb{R})\times SO(2)$ instead of $SO(2,1)\times SO(2)$, the expected symmetry of $dS_2\times S^2$. We present a structural analysis of SdS spacetime and compute the leading quantum corrections to the entropy of SdS spacetime in a semi-classical way.

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D. Guerrero-Dominguez, P. Talavera. 2022-06-24. Enhanced symmetry and Entropy of Schwarzschild-deSitter spacetime. https://doi.org/10.1103/physrevd.106.124024

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