Thermodynamic Topology of Quantum Corrected AdS-Reissner-Nordstrom Black Holes in Kiselev Spacetime

Abstract

In this paper, we delve into the intricate thermodynamic topology of quantum-corrected Anti-de Sitter-Reissner-Nordstrm (AdS-RN) black hole within the framework of Kiselev spacetime. By employing the generalized off-shell Helmholtz free energy approach, we meticulously compute the thermodynamic topology of these selected black holes. Furthermore, we establish their topological classifications. Our findings reveal that quantum correction terms influence the topological charges of black holes in Kiselev spacetime, leading to novel insights into topological classifications. Our research findings elucidate that, in contrast to the scenario in which $\omega =0$ and $a=0.7$ with total topological charge $W=0$ and $\omega =-4/3$ with total topological charge $W=-1$, in other cases, the total topological charge for the black hole under consideration predominantly stabilizes at +1. This stabilization occurs with the significant influence of the parameters a, c, and $\omega$ on the number of topological charges. Specifically, when $\omega$ assumes the values of $\omega =-1/3$, $\omega =-2/3$ , $\omega =-1$, the total topological charge consistently be to W = +1.

17 pages, 5 figures. Accepted for publication in Chinese Physics C

References in corpus (22)

• Black Hole Enthalpy and an Entropy Inequality for the Thermodynamic Volume
• Black Hole Solutions as Topological Thermodynamic Defects
• Topology of black hole thermodynamics
• Topological classes of thermodynamics of rotating AdS black holes
• Topology of black hole thermodynamics in Lovelock gravity
• Topological classes of rotating black holes
• Consistent thermodynamics and topological classes for the four-dimensional Lorentzian charged Taub-NUT spacetimes
• Classifying topology of consistent thermodynamics of the four-dimensional neutral Lorentzian NUT-charged spacetimes
• Bardeen Black Hole Thermodynamics from Topological Perspective
• Topological classes of thermodynamics of the four-dimensional static accelerating black holes
• Topological classification and black hole thermodynamics
• Thermodynamic Topology and Photon Spheres in the Hyperscaling violating black holes
• On Shape Dependence and RG Flow of Entanglement Entropy
• The topological natures of the Gauss-Bonnet black hole in AdS space
• The Role of Topological Photon Spheres in Constraining the Parameters of Black Holes
• Topology of nonlinearly charged black hole chemistry via massive gravity
• Weak Gravity Conjecture from Conformal Field Theory: A Challenge from Hyperscaling Violating and Kerr-Newman-AdS Black Holes
• Topological interpretation of extremal and Davies-type phase transitions of black holes
• Bulk-boundary and RPS Thermodynamics from Topology perspective
• Topology in thermodynamics of regular black strings with Kaluza-Klein reduction
• Joule-Thomson expansion for quantum corrected AdS-Reissner-Nordstrom black holes in Kiselev spacetime
• Lepton Flavour Violation Tests of Type II Seesaw Leptogenesis

Cited by in corpus (17)

• Thermodynamic Topology and Phase Space Analysis of AdS Black Holes Through Non-Extensive Entropy Perspectives
• 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
• Non-extensive Entropy and Holographic Thermodynamics: Topological Insights
• 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
• Thermodynamic properties of Quantum-Corrected AdS Black Hole with Phantom Global Monopoles
• Thermodynamic Topology of Kiselev-AdS Black Holes within f (R, T) gravity
• Thermodynamic Curvature and Topological Insights of Hayward Black Holes with String Fluids
• Thermodynamics and Joule-Thomson Expansion for Schwarzschild-AdS Black Holes with Cloud of Strings and Quintessential-like Fluid
• Van der Waals Black Holes: Universality, Quantum Corrections, and Topological Classifications
• 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
• Assessing WGC Compatibility in ModMax Black Holes via Photon Spheres Analysis and WCCC Validation
• Thermodynamic Topology and Photon Spheres Analysis of Black Holes in Brane-World: Insights from Barrow Entropy
• Topology of black hole thermodynamics: A brief review
• Overcoming Barriers: Kramers' Escape Rate Analysis of Metastable Dynamics in First-Order Multi-Phase Transitions