论文标题
Schwarzschild-ads时空和鹰页面过渡的几何流程方程
Geometric Flow Equations for Schwarzschild-AdS Space-time and Hawking-Page Phase Transition
论文作者
论文摘要
在最近观察到RICCI流动和无限距离的纵向猜想是彼此密切相关的，我们将在本文中研究ADS时空几何的几何流量方程。 First, we consider the so called Yamabe and Ricci-Bourguignon flows and we show that these two flows - in contrast to the Ricci flow - lead to infinite distance fixed points for product spaces like $AdS_d\times S^p$, where $AdS_d$ denotes d-dimensional AdS space and $S^p$ corresponds to a p-dimensional sphere.其次，我们考虑ADS时空时代几何形状中的黑洞几何形状及其在Yamabe和Ricci-Bourguignon流动下的行为。具体而言，我们将检查ADS黑洞是否以及如何在RICCI流，Yamabe流以及一般Ricci-Bourguignon流动下进行霍金页相变。
Following the recent observation that the Ricci flow and the infinite distance swampland conjecture are closely related to each other, we will investigate in this paper geometric flow equations for AdS space-time geometries. First, we consider the so called Yamabe and Ricci-Bourguignon flows and we show that these two flows - in contrast to the Ricci flow - lead to infinite distance fixed points for product spaces like $AdS_d\times S^p$, where $AdS_d$ denotes d-dimensional AdS space and $S^p$ corresponds to a p-dimensional sphere. Second, we consider black hole geometries in AdS space time geometries and their behaviour under the Yamabe and Ricci-Bourguignon flows. Specifically we will examine if and how the AdS black holes will undergo a Hawking-Page phase transition under the Ricci flow, the Yamabe flow and under the general Ricci-Bourguignon flow.
