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Phase transitions of GUP-corrected charged AdS black hole

2018/10/16 by Meng-Sen Ma, Yan-Song Liu, Ma, Meng-Sen +1 · 2 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Noncommutative and Quantum Gravity Theories #hep-th

paper · pdf · doi:10.48550/arxiv.1810.06955

13 pages, 9 figures, Advances in High Energy Physics, in press

arxiv created 2018/10/16 · openalex publication_date 2018/10/16 · arxiv updated 2018/10/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study the thermodynamic properties and critical behaviors of the topological charged black hole in AdS space under the consideration of the generalized uncertainty principle (GUP). It is found that only in the spherical horizon case there are Van der Waals-like first-order phase transitions and reentrant phase transitions. From the equation of state we find that the GUP-corrected black hole can have one, two and three apparent critical points under different conditions. However, it is verified by the Gibbs free energy that in either case there is at most one physical critical point.

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