论文标题
量子校正的热力学和$ p-V $自我磨碎的天空黑洞的关键
Quantum corrected thermodynamics and $P-V$ criticality of self-gravitating Skyrmion black holes
论文作者
论文摘要
在本文中，我们研究了通过自我磨碎的天空模型产生的一类黑洞的量子校正的热力学。这样的黑洞解决方案是Einstein-Skrymion黑洞。我们首先使用文献中已经存在的Shell Hamiltonian形式主义来计算Einstein-Skyrmion黑洞的ADM质量。然后，我们考虑非扩展的相空间热力学，并为各种热力学量（例如鹰温度，熵，压力，吉布斯自由能和热容量）提供表达。接下来，我们研究量子校正对爱因斯坦 - 凯尔米米黑洞热力学的影响。我们观察到，除了导致稳定性之外，量子校正还会在爱因斯坦 - 克里米安黑洞中诱导AD（抗DE保姆）到DS（DE Sitter）相变。我们将宇宙常数视为压力，我们确定了爱因斯坦 - 斯基米翁黑洞的$ p-V $关键性，并观察到$ p-v $ trigithity取决于型号参数$λ$和$ k $。在此处完成的$ p-V $的研究可能有助于估计有关参数$λ$和$ k $的实验限制。
In this paper, we study the quantum corrected thermodynamics of a class of black holes generated by self-gravitating Skyrmion models. One such black hole solution is Einstein-Skrymion black hole. We first compute the ADM mass of Einstein-Skyrmion black hole using on-shell Hamiltonian formalism present already in the literature. We then consider non-extended phase space thermodynamics and derive expressions for various thermodynamic quantities like the Hawking temperature, entropy, pressure, Gibbs free energy, and heat capacity. Next, we study the effect of quantum corrections on the thermodynamics of the Einstein-Skyrmion black hole. We observe that apart from leading to stability, the quantum correction induce an AdS (anti-de sitter) to dS (de Sitter) phase transition in Einstein-Skrymion black hole. Treating cosmological constant as the pressure, we determine the $P-V$ criticality of the Einstein-Skrymion black hole and observe that the $P-V$ criticality depends on model parameters $λ$ and $K$. The study of $P-V$ criticality done here could help to estimate the experimental bound on the values of parameters $λ$ and $K$.
