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arXiv 0812.0876hep-thgr-qc
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砖墙方法中扭曲AdS $_3$黑洞的热力学

Thermodynamics of warped AdS$_3$ black hole in the brick wall method

Wontae Kim, Edwin J. Son

摘要:

基于brick-wall方法计算了宇宙学拓扑质量引力场中弯曲AdS $_3$黑洞上标量场的统计熵,它不同于Wald熵公式,由于高阶导数修正,给出了修正的面积定律,熵仍然满足面积定律.这意味着在这种背景下标量激发的熵与高阶导数项无关,或者传统的brick wall方法在考虑高阶导数项时存在一定的局限性。

英文摘要:

The statistical entropy of a scalar field on the warped AdS$_3$ black hole in the cosmological topologically massive gravity is calculated based on the brick-wall method, which is different from the Wald's entropy formula giving the modified area law due to the higher-derivative corrections in that the entropy still satisfies the area law. It means that the entropy for scalar excitations on this background is independent of higher-order derivative terms or the conventional brick wall method has some limitations to take into account the higher-derivative terms.

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