Thermodynamics of nonspherical black holes from Liouville theory
Thermodynamics of nonspherical black holes from Liouville theory
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DOI：
10.1142/s0217751x12501114
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发表时间：
2011-07
影响因子：
1.6
通讯作者：
Fang-Fang Yuan-Fang;Yongchang Huang
中科院分区：
文献类型：
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作者：
Fang-Fang Yuan-Fang;Yongchang Huang
刘维形式主义在很多年前就被提出来解释黑洞熵。它最近被更新，将一般黑洞的热力学，特别是霍金温度，与二维刘维尔理论联系起来。这依赖于二维黑洞度规的降维。相关的玻色子引力模型可以重写为类刘维尔理论。我们改进了这种方法，并给出了刘维尔理论中相应的标量张量和能量动量张量的一般公式。这使我们能够使用大约30年前发现的关系来读取黑洞温度。然后将其应用范围扩展到了非球形黑洞，如中性和带电黑洞环、拓扑黑洞以及与标量场耦合的情形。对于熵，我们遵循前人的方法，引用Cadoni对中心电荷的拉格朗日方法，然后使用Cardy公式。并给出了一般的有关参数。这种方法是更有利的比通常的哈密顿方法，这是使用旧的刘维尔形式主义的黑洞熵。
A Liouville formalism was proposed many years ago to account for the black hole entropy. It was recently updated to connect thermodynamics of general black holes, in particular the Hawking temperature, to two-dimensional Liouville theory. This relies on the dimensional reduction to two-dimensional black hole metric. The relevant dilaton gravity model can be rewritten as a Liouville-like theory. We refine the method and give general formulas for the corresponding scalar and energy–momentum tensors in Liouville theory. This enables us to read off the black hole temperature using a relation which was found about three decades ago. Then the range of application is extended to include nonspherical black holes such as neutral and charged black rings, topological black hole and the case coupled to a scalar field. As for the entropy, following previous authors, we invoke the Lagrangian approach to central charge by Cadoni and then use the Cardy formula. The general relevant parameters are also given. This approach is more advantageous than the usual Hamiltonian approach which was used by the old Liouville formalism for black hole entropy.