Work

RPST-inspired formalism for black holes in flat spacetime

Year: 2025

Type: article

Abstract: In this work, we propose a formalism for the thermodynamics of flat black holes in Renyi statistics, 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. We introduce a deformation parameter λ to replace the central charge C . This RPST-inspired formalism incorporates λ and its conjugate variable, the response potential ζ , as a new pair of thermodynamic variables, analogous to the central charge C and chemical potential μ 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.

Source: Physics Letters B

DOI: 10.1016/j.physletb.2025.139477

Authors: Bidyut Hazarika, Prabwal Phukon

Institution: Dibrugarh University

Language: English

Topic: Black Holes and Theoretical Physics

Subfield: Nuclear and High Energy Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: diamond

Funders: Inspire Foundation, Department of Science and Technology, Ministry of Science and Technology, India, Ministry of Science and Technology of the People's Republic of China

Award: G4358029435