发表机构
Universidad de las Américas, Sede Concepción; Universidad Austral de Chile; Chulalongkorn University; Silpakorn University; Universidad de Concepción（美洲大学孔塞普西翁校区; 智利南方大学; 朱拉隆功大学; 诗纳卡宁威洛大学; 孔塞普西翁大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文研究任意偶数维共形引力中静态黑洞的热力学，证明第一定律成立，并发现任意维度下存在零阶黑洞-黑洞相变。
AI 中文摘要
我们探讨了任意偶数维共形引力中静态黑洞的热力学性质。在球对称情形下，由于Birkhoff定理适用于所有拉格朗日量为$D=2k$维中$k$个Weyl张量的完全缩并的共形引力，这些时空在局部Weyl重标度意义下是静态且唯一的。解可选取为渐近局部(A)dS或平坦，且视界可扩展为具有任意常曲率$\gamma$的曲面。我们专注于渐近AdS情形，其中无穷远处的宇宙学常数为积分常数，并根据具有纯引力起源的各种毛参数计算时空质量。我们证明热力学第一定律成立，并研究正则系综中的相变，展示了任意维度下零阶黑洞-黑洞相变的存在性。
英文摘要
We explore the thermodynamic properties of static black holes in conformal gravities in arbitrary, even dimensions. In the spherically symmetric case, up to local Weyl rescalings, these spacetimes are static and unique, due to a Birkhoff's theorem that applies for all conformal gravities whose Lagrangians are complete contractions of $k$ Weyl tensors in dimension $D=2k$. The solutions can be chosen to be asymptotically locally (A)dS or flat, and the horizon can be extended to be a surface of arbitrary constant curvature, $γ$. We focus on the asymptotically AdS case, for which the cosmological constant at infinity is an integration constant, and compute the mass of the spacetime in terms of the diverse hair parameters which have a purely gravitational origin. We show that the first law of thermodynamics is satisfied, and study phase transitions in the canonical ensemble, showing the existence of zeroth-order black-hole/black-hole phase transitions for arbitrary dimension.
Comments26 pages, 5 figures
