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arXiv · 2302.09137

GUP corrections to black hole thermodynamics in the extended phase space approach

Eduardo López·Pedro Bargueño·Ernesto Contreras
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Abstract

In this work, we study corrections to black hole temperature and entropy in the context of the generalized uncertainty principle. In particular, we obtain corrected asymptotically anti de-Sitter black hole solutions following the extended phase space scheme in which the cosmological constant is considered as a thermodynamic pressure satisfying certain equation of state. Among all the possibilities, we consider that the cosmological pressure satisfies either a Polytropic or a Chaplygin equation of state. The physical plausibility of the solutions is studied based on the energy conditions and the associated heat capacity.

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Eduardo López, Pedro Bargueño, Ernesto Contreras. 2023-02-17. GUP corrections to black hole thermodynamics in the extended phase space approach. https://doi.org/10.1142/s0218271822501255

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