Bardeen black hole thermodynamics from topological perspective

2023/06/15 by Jafar Sadeghi, J. Sadeghi, Saeed Noori Gashti +2 · 88 citations
Physics and Astronomy · #Astrophysical Phenomena and Observations #Astrophysics #Black Holes and Theoretical Physics #Black hole (networking) #Combinatorics #Cosmology #Cosmology and Gravitation Theories #Dark energy #Einstein #Geometry #Helmholtz free energy #Mathematical physics #Perspective (graphical) #Physics #Quantum mechanics #Quintessence #Theoretical physics #Topology (electrical circuits)

paper · doi:10.1016/j.aop.2023.169391

published in Annals of Physics 455, 169391 (Elsevier BV)

openalex publication_date 2023/06/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/26

Abstract

In this paper, we use the generalized off-shell Helmholtz free energy method to explore the thermodynamic properties of Bardeen black holes (BD BHs) from a topological perspective based on Duan’s topological current ϕ -mapping. We consider various structures of BD BHs, including regular BD-AdS BHs, BD-AdS BHs in Kiselev’s model of quintessence , BD BHs in massive gravity (MG), and BD BHs in 4D Einstein–Gauss–Bonnet (EGB) gravity. We demonstrate that these BHs have one topological classification (TC), i.e., TC is +1 for all BHs considered, and the addition of MG or GB terms, etc., does not change the topological numbers.

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