Novel relations in massive gravity at Hawking-Page transition
arXiv:2107.04504 · doi:10.1103/PhysRevD.104.104049
Abstract
Sign and magnitude of Ruppeiner's curvature is an empirical indicator of the respective nature and strength of microstructures of a thermodynamic system. For d-dimensional Schwarzschild black holes in AdS, at the Hawking-Page (HP) transition point is a universal constant. In this article we study the nature of at HP transition in a massive gravity theory and show that its constancy is broken due to the dependence on graviton mass as well as horizon topology. Although, when the graviton mass reaches a critical value the HP transition is driven to zero temperature, and at this point again approaches a universal negative constant, independent of all parameters of the theory. The geometry of black holes in AdS close to the HP transition point is also studied via novel near horizon scaling limits, and reveals the emergence of fully decoupled Rindler spacetimes.
arXiv comment22 pages, 8 figures
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