Thermodynamic topology of black holes from bulk-boundary, extended, and restricted phase space perspectives

Abstract

In this article, we investigate the thermodynamic topology of some black holes, namely AdS Reissner Nordstrom (R-N), AdS Einstein-Gauss-Bonnet (EGB), and AdS Einstein-power-Yang-Mills (EPYM), from different frameworks: bulk-boundary (BB) and restricted phase space (RPS). Using the generalized off-shell Helmholtz free energy method, we calculate the thermodynamic topology of the selected black holes in each space separately and determine their topological classifications. We show that the addition of GB terms, dimensions, and other factors do not affect the topological classes of black holes in both spaces. The calculations and plots indicate that the AdS R-N and AdS EGB black holes show similar behavior and their topological numbers sets in both spaces, i.e., BB and RPS, are similar and equal to ($W=+1$). However, AdS EPYM black holes show an interesting behavior. In addition to BBT and RPS, we also consider the extended phase space thermodynamics (EPST) and evaluate the thermodynamic topology for AdS EPYM black hole. The changing ($r-\tau$) in both spaces shows similar behavior. Also, the topological number and the total topological numbers for this black hole in the BB, RPS and EPS thermodynamics are completely same, i,e., $({\omega }_{BBT}={\omega }_{RPS}={\omega }_{EPST}=+1,-1)$ or $W_{BBT}=W_{RPS}=W_{EPST}=0$. An important point is that the Einstein-Yang-Mills black hole has thermodynamic topology equivalence in three spaces. The present result may be due to the non-linear YM charge parameter and the difference between the gauge and gravity corrections in the above black holes

34 pages, 9 figures, Accepted for publication in the Annals of Physics

References in corpus (17)

• Consistent thermodynamics and topological classes for the four-dimensional Lorentzian charged Taub-NUT spacetimes
• Revisiting thermodynamic topologies of black holes
• Classifying topology of consistent thermodynamics of the four-dimensional neutral Lorentzian NUT-charged spacetimes
• Restricted phase space thermodynamics for AdS black holes via holography
• Topological classification and black hole thermodynamics
• Thermodynamics of Kerr-AdS black holes in the restricted phase space
• Bulk-boundary thermodynamic equivalence: a topology viewpoint
• Topology of nonlinearly charged black hole chemistry via massive gravity
• WGC and WCCC of black holes with quintessence and cloud strings in RPS space
• Weak Gravity Conjecture from Conformal Field Theory: A Challenge from Hyperscaling Violating and Kerr-Newman-AdS Black Holes
• 4D-EGB Black Holes in RPS Thermodynamics
• Topological classes of higher-dimensional black holes in massive gravity
• Topology in thermodynamics of regular black strings with Kaluza-Klein reduction
• The emergence of universal relations in the AdS black holes thermodynamics
• WGC and WCC for charged black holes with quintessence and cloud of strings
• Generalized free energy and dynamical state transition of the dyonic AdS black hole in the grand canonical ensemble
• Restricted phase space thermodynamics of Einstein-power-Yang-Mills AdS black hole

Cited by in corpus (37)

• Topological classes of thermodynamics of the static multi-charge AdS black holes in gauged supergravities: novel temperature-dependent thermodynamic topological phase transition
• Thermodynamic topology of black Holes in f(R) gravity
• Thermodynamics and Null Geodesics of a Schwarzschild Black Hole Surrounded by a Dehnen Type Dark Matter Halo
• Universal thermodynamic topological classes of rotating black holes
• Thermodynamic Topology of $D=4,5$ Horava Lifshitz Black Hole in Two Ensembles
• Thermodynamic Topology and Phase Space Analysis of AdS Black Holes Through Non-Extensive Entropy Perspectives
• Thermodynamic Topological Classifications of Well-Known Black Holes
• Bulk-boundary and RPS Thermodynamics from Topology perspective
• Topological interpretation of extremal and Davies-type phase transitions of black holes
• Thermodynamic topology of topological black hole in $F(R)$-ModMax gravity's rainbow
• Thermodynamic topology of 4D Euler-Heisenberg-AdS black hole in different ensembles
• Mutual Influence of Photon Sphere and Non-Commutative Parameter in Various Non-Commutative Black Holes: Part I- Towards evidence for WGC
• Topological Insights into Black Hole Thermodynamics: Non-Extensive Entropy in CFT framework
• Thermodynamic topology of Kerr-Sen black holes via Rényi statistics
• Black Hole Chemistry: the first 15 years
• Non-extensive Entropy and Holographic Thermodynamics: Topological Insights
• Exploring the Phase Transition in Charged Gauss-Bonnet Black Holes: A Holographic Thermodynamics Perspectives
• WGC as WCCC protector: The Synergistic Effects of various Parameters in Identifying WGC candidate Models
• Phase Transition Dynamics of Black Holes Influenced by Kaniadakis and Barrow Statistics
• Universal thermodynamic topological classes of static black holes in Conformal Killing Gravity
• Thermodynamic topological classes of the rotating, accelerating black holes
• Thermodynamic Topology of Kiselev-AdS Black Holes within f (R, T) gravity
• Thermodynamics, Weak Gravitational Lensing, and Parameter Estimation of a Schwarzschild Black Hole Immersed in Hernquist Dark Matter Halo
• Topology of black hole phase transition in JT gravity
• Frolov Black Hole Surrounded by Quintessence -- I: Thermodynamics, Geodesics and Shadows
• Topology of restricted phase space thermodynamics in Kerr-Sen-Ads black holes
• Restricted Phase Space Thermodynamics of NED-AdS Black Holes
• Cooling and heating regions of Joule-Thomson expansion for AdS black holes: Einstein-Maxwell-Power-Yang-Mills and Kerr Sen black holes
• Kramer's Escape Rate and Phase Transition Dynamics in AdS Black Holes
• Holographic Thermodynamics of BTZ Black Holes and Tsallis Entropy
• Thermodynamic Topology and Photon Spheres Analysis of Black Holes in Brane-World: Insights from Barrow Entropy
• Topology of black hole thermodynamics: A brief review
• Novel topological subclass in Hourava-Lifshitz black holes
• Thermodynamic topology of dyonic AdS black holes with quasitopological electromagnetism in Einstein-Gauss-Bonnet gravity
• The $D$-dimensional charged AdS black holes solutions in polytropic dark energy from Barrow entropy
• Overcoming Barriers: Kramers' Escape Rate Analysis of Metastable Dynamics in First-Order Multi-Phase Transitions
• Holographic Thermodynamics of Higher-Dimensional AdS Black Holes with CFT Rescaling