论文标题

Schwarzschild-desitter时空的增强对称性和熵

Enhanced symmetry and Entropy of Schwarzschild-deSitter spacetime

论文作者

Guerrero-Dominguez, D., Talavera, P.

论文摘要

在本文中,我们表明,在Schwarzschild-desitter(SDS)时空的黑洞(BH)地平线附近的无质量标量粒子的运动方程式享受一个隐藏的形状对称性时,当两个地平线满足二次关系时,与Nariai限制无关。这种隐藏的对称性为$ sl(2,\ mathbb {r})\ times so(2)$而不是$ so(2,1)\ times so(2)$,预期的对称为$ ds_2 \ times s^2 $。我们介绍了SDS时空的结构分析,并以半经典的方式计算SDS时空熵的领先量子校正。

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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