RPST-Inspired Formalism for Black Holes in Flat Spacetime
arXiv:2411.18256 · doi:10.1016/j.physletb.2025.139477
Abstract
In this work, we propose a novel formalism for the thermodynamics of flat black holes, inspired by the Restricted Phase Space Thermodynamics (RPST) framework. Our construction is motivated by the observed similarities in the thermodynamic behavior of flat black holes within the Rényi entropy framework and that of AdS black holes described by the Bekenstein entropy regime. The RPST framework is, by construction, exclusive to AdS black holes because it depends on the cosmological constant , which is linked to the central charge of the dual conformal field theory (CFT). However, for non-AdS black holes, where is absent, we introduce a deformation parameter to replace the central charge . This RPST-inspired formalism incorporates and its conjugate variable, the response potential , as a new pair of thermodynamic variables, analogous to the central charge and chemical potential in the AdS case. To illustrate the applicability of this formalism, we analyze two examples: the Reissner-Nordström (RN) flat black hole and the Kerr black hole.
arXiv comment11 pages, 8 figures
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