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arXiv 1405.5745gr-qchep-th
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幻影黑洞与临界现象

Phantom black holes and critical phenomena

Mustapha Azreg-Aïnou, Glauber T. Marques, Manuel E. Rodrigues

摘要:

本文考虑Einstein-Maxwell-Einstein理论中的正常和幻影黑洞的两类cosh和sinh。这些空穴的热力学特征是热容,根据理论的参数,热容可以有两个符号。撇开正常的Reissner-Nordström黑洞,它表明,只有一些幻影黑洞的两个类表现出临界现象。这两个类共享一个非极值,但特殊的,临界点的过渡是连续的和热容量,在恒定的电荷,改变符号与无限的不连续性。这一点产生了临界点的分类方案。结果表明,在临界态的一侧不稳定相和稳定相共存,而在另一侧消失,即不存在只存在一个相的组态。sinh类有一个熵发散的极值临界点。在电荷保持恒定的情况下,从极端状态到非极端状态的转变伴随着质量的损失和温度的升高。这种转变的一个特殊情况是当空穴被孤立时(微正则系综),它将通过能量的发射而演化,这导致其质量减少,最终达到最小质量和消失热容的状态。在这种情况下,Eschlafest分类方案是不准确的,但由于Hilfer的广义分类方案导致得出结论,过渡的阶数小于1。临界附近的波动也进行了研究。

英文摘要:

We consider the two classes cosh and sinh of normal and phantom black holes of Einstein-Maxwell-dilaton theory. The thermodynamics of these holes is characterized by heat capacities that may have both signs depending on the parameters of the theory. Leaving aside the normal Reissner-Nordström black hole, it is shown that only some phantom black holes of both classes exhibit critical phenomena. The two classes share a nonextremality, but special, critical point where the transition is continuous and the heat capacity, at constant charge, changes sign with an infinite discontinuity. This point yields a classification scheme for critical points. It is concluded that the two unstable and stable phases coexist on one side of the criticality state and disappear on the other side, that is, there is no configuration where only one phase exists. The sinh class has an extremality critical point where the entropy diverges. The transition from extremality to nonextremality with the charge held constant is accompanied by a loss of mass and an increase in the temperature. A special case of this transition is when the hole is isolated (microcanonical ensemble), it will evolve by emission of energy, which results in a decrease of its mass, to the final state of minimum mass and vanishing heat capacity. The Ehrenfest scheme of classification is inaccurate in this case but the generalized one due to Hilfer leads to conclude that the transition is of order less than unity. Fluctuations near criticality are also investigated.

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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