论文标题
黑洞溶液作为拓扑热力学缺陷
Black Hole Solutions as Topological Thermodynamic Defects
论文作者
论文摘要
在这项工作中，采用了广义的外壳自由能，我们将黑洞溶液视为热力学参数空间中的缺陷。结果表明，与缺陷相对应的正和负绕组数分别表明局部热力学稳定和不稳定的黑洞溶液。拓扑数$ w $定义为在任意温度下所有黑洞分支的绕组数的总和，被认为是与黑洞参数无关的通用数。此外，此拓扑数仅取决于在小黑洞和大型黑洞限制下黑洞温度的热力学渐近行为。不同的黑洞系统的特征是通过此拓扑编号三个类别。这个数字可以帮助我们很好地理解黑洞的热力学，并进一步了解量子重力的基本性质。
In this work, employing the generalized off-shell free energy, we treat black hole solutions as defects in the thermodynamic parameter space. The results show that the positive and negative winding numbers corresponding to the defects indicate the local thermodynamical stable and unstable black hole solutions, respectively. The topological number $W$ defined as the sum of the winding numbers for all the black hole branches at an arbitrary given temperature is found to be a universal number independent of the black hole parameters. Moreover, this topological number only depends on the thermodynamic asymptotic behaviors of the black hole temperature at small and large black hole limits. Different black hole systems are characterized by three classes via this topological number. This number could help us well understanding the black hole thermodynamics, and further shed new light on the fundamental nature of quantum gravity.
