Geometry of Black Hole Thermodynamics |
| |
Authors: | Jan E Åman Ingemar Bengtsson Narit Pidokrajt |
| |
Institution: | (1) AlbaNova, Fysikum, Stockholm University, S-106 91 Stockholm, Sweden |
| |
Abstract: | The Hessian of the entropy function can be thought of as a metric tensor on the state space. In the context of thermodynamical fluctuation theory Ruppeiner has argued that the Riemannian geometry of this metric gives insight into the underlying statistical mechanical system; the claim is supported by numerous examples. We study this geometry for some families of black holes. It is flat for the BTZ and Reissner–Nordström black holes, while curvature singularities occur for the Reissner–Nordström–anti–de Sitter and Kerr black holes. |
| |
Keywords: | Black hole entropy Hessian |
本文献已被 SpringerLink 等数据库收录! |