论文标题
高斯 - 骨网中黑洞热力学的拓扑
Topology of black hole thermodynamics in Gauss-Bonnet gravity
论文作者
论文摘要
抗de Sitter（ADS）空间中黑洞的热力学通常包含相图中的临界点，其中一些对应于二阶末端的一阶过渡。根据[Arxiv：2112.01706]关于使用Duan的$ ϕ $绘制理论的最新提案，我们对ADS SpaceTime中的六个尺寸充电高斯黑洞的关键点进行了分类。我们发现，高斯 - 骨网的较高的衍生校正不会改变广告中带电的黑洞中临界点的拓扑类别，这与前面提到的出生污染校正的情况不同。临界点的拓扑性质与一阶相变的存在之间的联系在某个参数方面分解。通过将新颖和常规临界点视为相位创造和相位歼灭点，提出了解决方案。提供了示例以支持该提案。
Thermodynamics of black holes in anti de Sitter (AdS) spacetimes typically contains critical points in the phase diagram, some of which correspond to the first order transition ending in a second order one. Following the recent proposal in [arXiv:2112.01706] on using Duan's $ϕ$-mapping theory, we classify the critical points of six dimensional charged Gauss-Bonnet black holes in AdS spacetime. We find that the higher derivative corrections from Gauss-Bonnet gravity do not change the topological class of critical points in charged black holes in AdS, unlike the case of Born-Infeld corrections noted earlier. The connection between the topological nature of critical points and existence of first order phase transitions breaks down in a certain parameter regime. A resolution is proposed by treating the novel and conventional critical points as phase creation and phase annihilation points, respectively. Examples are provided to support the proposal.
