等温空腔中的正则黑洞
Regular black holes in isothermal cavity
AI总结：
本研究针对等温空腔内的静态中性正则黑洞，推导含量子修正的约化作用量，应用于非对易Schwarzschild黑洞后发现了经典系统及无空腔渐近平坦系统都不存在的、类似范德瓦尔斯气液相变的小/大稳定正则黑洞相变。
摘要：
我们研究了封闭在有限等温空腔内的静态中性正则（非奇异）黑洞的热力学行为。空腔边界有助于我们在正则系综或巨正则系综中研究黑洞系统。本文中，我们通过考虑正则系综，推导了空腔内正则黑洞一般度规的约化作用量。该作用量的新表达式在短距离下包含量子修正，在大距离下则收敛为空腔内奇异黑洞的作用量。我们将这一形式体系应用于非对易Schwarzschild黑洞，以研究该系统的相结构。我们得出结论：空腔内可能存在小/大稳定正则黑洞相变，这种相变既不存在于空腔内经典Schwarzschild黑洞的系统中，也不存在于无空腔的渐近平坦正则黑洞系统中。该相变似乎与Van der Waals气体的液/气相变类似。
英文摘要：
We examine the thermodynamic behavior of a static neutral regular (non-singular) black hole enclosed in a finite isothermal cavity. The cavity enclosure helps us investigate black hole systems in a canonical or a grand canonical ensemble. Here we demonstrate the derivation of the reduced action for the general metric of a regular black hole in a cavity by considering a canonical ensemble. The new expression of the action contains quantum corrections at short distances and concludes to the action of a singular black hole in a cavity at large distances. We apply this formalism to the noncommutative Schwarzschild black hole, in order to study the phase structure of the system. We conclude to a possible small/large stable regular black hole transition inside the cavity that exists neither at the system of a classical Schwarzschild black hole in a cavity, nor at the asymptotically flat regular black hole without the cavity. This phase transition seems to be similar with the liquid/gas transition of a Van der Waals gas.
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