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arXiv 1302.6980hep-thgr-qc
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平面AdS时空的引力张力和热力学

Gravitational Tension and Thermodynamics of Planar AdS Spacetimes

Basem Mahmoud El-Menoufi, Benjamin Ett, David Kastor, Jennie Traschen

摘要:

我们导出了渐近平面AdS黑洞和孤子解的新的热力学关系。除了ADM质量,这些时空的特征是在每个平面空间方向上的引力张力。我们表明,与平面AdS渐近,ADM的质量和紧张的总和必然消失,因为人们会期望从AdS /CFT对应。这样一个时空的每一个Killing矢量都导致了一个Smarr公式,它与ADM质量和张力、黑洞视界和孤子泡面积以及由于非零宇宙学常数而产生的一组热力学体积有关。这些Smarr关系显示了一个有趣的对称性之间的黑洞和气泡,是不变的质量和黑洞的视界面积与张力和孤子泡面积的同时互换。这种性质可能表明了双规范理论的限制相和非限制相之间的对称性。

英文摘要:

We derive new thermodynamic relations for asymptotically planar AdS black hole and soliton solutions. In addition to the ADM mass, these spacetimes are characterized by gravitational tensions in each of the planar spatial directions. We show that with planar AdS asymptotics, the sum of the ADM mass and tensions necessarily vanishes, as one would expect from the AdS /CFT correspondence. Each Killing vector of such a spacetime leads to a Smarr formula relating the ADM mass and tensions, the black hole horizon and soliton bubble areas, and a set of thermodynamic volumes that arise due to the non-vanishing cosmological constant. These Smarr relations display an interesting symmetry between black holes and bubbles, being invariant under the simultaneous interchange of the mass and black hole horizon area with the tension and soliton bubble area. This property may indicate a symmetry between the confining and deconfined phases of the dual gauge theory.

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