Topology of restricted phase space thermodynamics in Kerr-Sen-Ads black holes

Abstract

In this study, we investigate the thermodynamic topology of the Kerr-Sen-Ads black hole in restricted phase space. In the restricted phase space, a new parameter, central charge $C$, and its conjugate parameter $\mu$ are introduced, omitting the well-known $PdV$ term in the first law of black hole thermodynamics. We study the local and global topology of the black hole by considering the black hole solution as topological defects in the free energy landscape. We compute the winding number and the total topological number at the thermodynamic defects. For our analysis, we have considered five ensembles of Kerr-Sen-Ads black holes in restricted phase space: fixed $(Q,J,C)$, fixed $(\varphi ,J,C)$, fixed $(Q,\Omega ,C)$, fixed $(Q,J,\mu )$, and fixed $(\varphi ,\Omega ,C)$, where $Q$ is the electric charge, $J$ is the angular momentum, $C$ is the central charge, $\varphi$ is the electric potential conjugate to charge, $\Omega$ is the angular frequency conjugate to $J$, and finally, $\mu$ is the chemical potential. In the fixed $(Q,J,C)$, fixed $(\varphi ,J,C)$, and fixed $(Q,J,\mu )$ ensembles, we find a topological charge of $+1$. In the fixed $(Q,\Omega ,C)$ and fixed $(\varphi ,\Omega ,C)$ ensembles, depending on the values of the thermodynamic parameters, we find topological charges of $-1$, $0$, and $+1$. Interestingly, in ensembles where we find the topological charge to be $0$, we observe both Hawking-Page and Davies type phase transitions. We show that both types of these phase transitions can be studied using a common vector field, and the topological charges associated with Davies type and Hawking-Page phase transitions are $-1$ and $+1$, respectively.

24 pages, 39 figures

References in corpus (41)

• Geometrothermodynamics
• Black Hole Solutions as Topological Thermodynamic Defects
• Topology of black hole thermodynamics
• Holographic Thermodynamics Requires a Chemical Potential for Color
• Topological classes of thermodynamics of rotating AdS black holes
• Topological classes of rotating black holes
• Topology of critical points and Hawking-Page transition
• 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
• Holographic CFT Phase Transitions and Criticality for Charged AdS Black Holes
• Thermodynamic topology of 4D Dyonic AdS black holes in different ensembles
• Bardeen Black Hole Thermodynamics from Topological Perspective
• Restricted phase space thermodynamics for AdS black holes via holography
• 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
• Thermodynamics of Kerr-AdS black holes in the restricted phase space
• Bulk-boundary thermodynamic equivalence: a topology viewpoint
• Thermodynamic topology of black holes from bulk-boundary, extended, and restricted phase space perspectives
• Are ultra-spinning Kerr-Sen-AdS${}_4$ black holes always super-entropic ?
• Thermodynamic topology of black Holes in f(R) gravity
• Vortex/anti-vortex pair creation in black hole thermodynamics
• Topological classes of black holes in de-Sitter spacetime
• Aspects of the dyonic Kerr-Sen-AdS${}_4$ black hole and its ultraspinning version
• Topological classes of thermodynamics of the rotating charged AdS black holes in gauged supergravities
• WGC and WCCC of black holes with quintessence and cloud strings in RPS space
• Holographic thermodynamics of rotating black holes
• 4D-EGB Black Holes in RPS Thermodynamics
• Topological interpretation of extremal and Davies-type phase transitions of black holes
• Bulk-boundary and RPS Thermodynamics from Topology perspective
• Barrow Entropy and AdS Black Holes in RPS Thermodynamics
• Thermodynamic topology of topological black hole in $F(R)$-ModMax gravity's rainbow
• Black hole thermodynamics is extensive with variable Newton constant
• Thermodynamic topology of 4D Euler-Heisenberg-AdS black hole in different ensembles
• Restricted phase space thermodynamics of charged AdS black holes in conformal gravity
• Generalized free energy and dynamical state transition of the dyonic AdS black hole in the grand canonical ensemble
• Grand canonical ensemble of a $d$-dimensional Reissner-Nordström black hole in a cavity
• Dual CFT on Dyonic Kerr-Sen black hole and its gauged and ultraspinning counterparts
• Restricted phase space thermodynamics of Einstein-power-Yang-Mills AdS black hole
• Dual CFT on Nariai limit for Kerr-Sen-dS black holes

Cited by in corpus (4)

• Topology of black hole thermodynamics: A brief review
• The $D$-dimensional charged AdS black holes solutions in polytropic dark energy from Barrow entropy
• Differential topology and micro-structure of black hole in Einstein-Euler-Heisenberg spacetimes with exponential entropy
• Restricted Phase Space Thermodynamics of Charged Static and Charged Rotating Black Holes in $f(R)$ Gravity