Extended phase space thermodynamics for charged and rotating black holes and Born-Infeld vacuum polarization
Extended phase space thermodynamics for charged and rotating black holes and Born-Infeld vacuum polarization
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DOI：
10.1007/jhep11(2012)110
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发表时间：
2012-08
影响因子：
5.4
通讯作者：
S. Gunasekaran;D. Kubizňák;R. Mann
中科院分区：
文献类型：
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作者：
S. Gunasekaran;D. Kubizňák;R. Mann
我们调查的临界行为的带电和旋转的AdS黑洞在d时空维度，包括非线性电动力学通过Born-Infeld行动的影响，在一个扩展的相空间中，宇宙常数被解释为热力学压力。对于Reissner-Nördstrom黑洞，我们发现与货车德瓦尔斯液-气系统的类比在大于3的任何维数都成立，临界指数与货车德瓦尔斯系统的临界指数一致。我们发现，在四维时空中的中性缓慢旋转黑洞也有相同的定性行为。然而，在三维时空中带电和旋转的黑洞并没有表现出临界现象。对于Born-Infeld黑洞，我们定义了一个新的热力学量B，它与Born-Infeld参数B共轭，我们称之为Born-Infeld真空极化。我们证明，这个量是必要的热力学第一定律和相应的Smarr关系的一致性。
We investigate the critical behaviour of charged and rotating AdS black holes in d spacetime dimensions, including effects from non-linear electrodynamics via the Born-Infeld action, in an extended phase space in which the cosmological constant is interpreted as thermodynamic pressure. For Reissner-Nördstrom black holes we find that the analogy with the Van der Walls liquid-gas system holds in any dimension greater than three, and that the critical exponents coincide with those of the Van der Waals system. We find that neutral slowly rotating black holes in four space-time dimensions also have the same qualitative behaviour. However charged and rotating black holes in three spacetime dimensions do not exhibit critical phenomena. For Born-Infeld black holes we define a new thermodynamic quantity B conjugate to the Born-Infeld parameter b that we call Born-Infeld vacuum polarization. We demonstrate that this quantity is required for consistency of both the first law of thermodynamics and the corresponding Smarr relation.