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arXiv 0809.4928hep-th
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薛定谔空间中黑洞的热力学

Thermodynamics of Black Holes in Schroedinger Space

Daiske Yamada

摘要:

给出了具有薛定谔等距线的空间中的一个黑洞和一个黑双曲面解,并研究了它们的热力学性质。壳上作用量由极值作用量与非极值作用量之差和边界度量的异常匹配得到。这种正规化方法首先适用于黑膜解决方案的空间中的薛定谔对称性,并正确地再现已知的热力学。所有黑色溶液的作用结果都与AdS对应物相同。在温度和化学势的参数空间中得到了黑洞系统的相图,该相图包含Hawking-Page相变和不稳定性线。

英文摘要:

A black hole and a black hyperboloid solutions in the space with the Schroedinger isometries are presented and their thermodynamics is examined. The on-shell action is obtained by the difference between the extremal and non-extremal ones with the unusual matching of the boundary metrics. This regularization method is first applied to the black brane solution in the space of the Schroedinger symmetry and shown to correctly reproduce the known thermodynamics. The actions of the black solutions all turn out to be the same as the AdS counterparts. The phase diagram of the black hole system is obtained in the parameter space of the temperature and chemical potential and the diagram contains the Hawking-Page phase transition and instability lines.

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。

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