GUP corrections to black hole thermodynamics in the extended phase-space approach
Eduardo LópezDepartamento de Matemáticas, Colegio de Ciencias e Ingeniería, Universidad San Francisco de Quito, Quito, EcuadorPedro BargueñoDepartamento de Física Aplicada, Universidad de Alicante, Campus de San Vicente del Raspeig, E-03690 Alicante, SpainE. ContrerasDepartamento de Física, Colegio de Ciencias e Ingeniería, Universidad San Francisco de Quito, Quito, Ecuador
2022en
ABI
Abstract
In this work, we study corrections to black hole (BH) temperature and entropy in the context of the generalized uncertainty principle. In particular, we obtain corrected asymptotically Anti-de Sitter BH solutions following the extended phase-space scheme in which the cosmological constant is considered as a thermodynamic pressure satisfying certain equation of state (EoS). Among all the possibilities, we consider that the cosmological pressure satisfies either a polytropic or a Chaplygin EoS. The physical plausibility of the solutions is studied based on the energy conditions and the associated heat capacity.
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