论文标题
黑洞相变的广义自由能景观
Generalized free energy landscape of black hole phase transition
论文作者
论文摘要
最近，提出了基于自由能景观的随机动力学模型，以量化黑洞相变的动力学。一个必不可少的概念是波动黑洞的广义自由能，该能量是根据先前的热力学关系定义的。在这项工作中，通过采用长臂猿的径向积分方法来进行黑洞热力学，我们表明可以从欧几里得引力插入的爱因斯坦 - 希尔伯特（Einstein-Hilbert）的作用中得出广义的自由能，并具有锥形的奇异性。这项工作为黑洞相变的自由能景观形式主义提供了具体和坚实的基础。
Recently, the stochastic dynamical model based on the free energy landscape was proposed to quantify the kinetics of the black hole phase transition. An essential concept is the generalized free energy of the fluctuating black hole, which was defined in terms of the thermodynamic relation previously. In this work, by employing the Gibbons-Hawking path integral approach to black hole thermodynamics, we show that the generalized free energy can be derived from the Einstein-Hilbert action of the Euclidean gravitational instanton with the conical singularity. This work provides a concrete and solid foundation for the free energy landscape formalism of black hole phase transition.
