arXivDaily arXiv每日学术速递 周一至周五更新
北美退伍军人节(Veterans Day),12 日无更新
arXiv 0909.2564hep-thgr-qc
收藏

三维旋转BHT黑洞的微观熵

Microscopic entropy of the three-dimensional rotating black hole of BHT massive gravity

Gaston Giribet, Julio Oliva, David Tempo, Ricardo Troncoso

摘要:

讨论了三维Bergshoeff-Hohm-Townsend(BHT)大质量引力理论中的渐近AdS旋转黑洞.在特殊情况下,当理论承认一个唯一的最大对称的解决方案,除了质量和角动量,黑洞是由一个独立的“引力头发”参数,它提供了一个负的质量下限。这个束缚在极端情况下是饱和的,由于温度和半经典熵为零,它自然被认为是基态。没有一个全局电荷与引力头发参数反映通过热力学热力学第一定律的事实,该参数的变化可以始终重吸收的移动的全局电荷,进一步支持考虑极端情况下的基态。旋转的黑洞与Brown和Henneaux的黑洞相比,在宽松的渐近条件下是合适的,这样它们在Virasoro生成元的两个副本所跨越的标准渐近对称下是不变的,并且守恒电荷的代数获得了中心扩展。然后证明了Strominger的广义相对论全息计算也可以推广到BHT理论,即,假设量子理论在边界上可以用对偶共形场论一致地描述,则黑洞熵可以由态数的渐近增长按Cardy公式在微观上计算,与半经典结果完全一致。

英文摘要:

Asymptotically AdS rotating black holes for the Bergshoeff-Hohm-Townsend (BHT) massive gravity theory in three dimensions are considered. In the special case when the theory admits a unique maximally symmetric solution, apart from the mass and the angular momentum, the black hole is described by an independent "gravitational hair" parameter, which provides a negative lower bound for the mass. This bound is saturated at the extremal case and, since the temperature and the semiclassical entropy vanish, it is naturally regarded as the ground state. The absence of a global charge associated with the gravitational hair parameter reflects through the first law of thermodynamics in the fact that the variation of this parameter can be consistently reabsorbed by a shift of the global charges, giving further support to consider the extremal case as the ground state. The rotating black hole fits within relaxed asymptotic conditions as compared with the ones of Brown and Henneaux, such that they are invariant under the standard asymptotic symmetries spanned by two copies of the Virasoro generators, and the algebra of the conserved charges acquires a central extension. Then it is shown that Strominger's holographic computation for general relativity can also be extended to the BHT theory; i.e., assuming that the quantum theory could be consistently described by a dual conformal field theory at the boundary, the black hole entropy can be microscopically computed from the asymptotic growth of the number of states according to Cardy's formula, in exact agreement with the semiclassical result.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑