On the thermodynamic phase structure of conformal gravity
arXiv:1804.10446 · doi:10.1016/j.physletb.2018.06.045
Abstract
The solutions of the Einstein equation are a subset of the solutions of conformal (Weyl) gravity, but the difference from the action means that the black hole thermodynamics of the two gravity theories would be different. In this paper we explore the thermodynamic phase structure for the conformal gravity in the four-dimensional AdS space-time. Special emphasis is put on the dependence on the parameter in the linear- term in the metric. The thermodynamic phase structure of the conformal gravity is very rich, including two branches of equations of states, negative thermodynamic volume, zeroth-order phase transition, and Hawking-Page like phase transition.
6 pages+references;v2:minor corrections, references added, accepted by PLB; v3:corrections made in case, Fig.3 added, fixed typos
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