Topology in thermodynamics of regular black strings with Kaluza-Klein reduction
arXiv:2305.15910 · doi:10.1140/epjc/s10052-023-11768-5
Abstract
We study the topological defects in the thermodynamics of regular black strings (from a four-dimensional perspective) that is symmetric under the double Wick rotation and constructed in the high-dimensional spacetime with an extra dimension compactified on a circle. We observe that the thermodynamic phases of regular black strings can be topologically classified by the positive and negative winding numbers (at the defects) which correspond to the thermodynamically stable and unstable branches. This topological classification implies a phase transition due to the decay of a thermodynamically unstable regular black string to another which is thermodynamically stable. We confirm these topological properties of the thermodynamics of regular black strings by investigating their free energy, heat capacity, and Ruppeiner scalar curvature of the state space. The Ruppeiner scalar curvature of regular black strings is found to be always negative, implying that the interactions among the microstructures of regular black strings are only attractive.
arXiv comment21 pages, 10 figures
References in corpus (32)
- A Large Mass Hierarchy from a Small Extra Dimension
- The Hierarchy Problem and New Dimensions at a Millimeter
- P-V criticality of charged AdS black holes
- Enthalpy and the Mechanics of AdS Black Holes
- Regular Black Hole in General Relativity Coupled to Nonlinear Electrodynamics
- The Bardeen Model as a Nonlinear Magnetic Monopole
- Regular Magnetic Black Holes and Monopoles from Nonlinear Electrodynamics
- Black hole chemistry: thermodynamics with Lambda
- P-V criticality in the extended phase space of Gauss-Bonnet black holes in AdS space
- Smarr Formula and an Extended First Law for Lovelock Gravity
- Rotating Regular Black Hole Solution
- Joule-Thomson Expansion of Charged AdS Black Holes
- Regular black holes in quadratic gravity
- P-V Criticality of Topological Black Holes in Lovelock-Born-Infeld Gravity
- Joule-Thomson Expansion of Kerr-AdS Black Holes
- Radiating Kerr-like regular black hole
- Topology of black hole thermodynamics in Lovelock gravity
- Topology of critical points and Hawking-Page transition
- Revisiting thermodynamic topologies of black holes
- Scale dependent three-dimensional charged black holes in linear and non-linear electrodynamics
- Thermal Dynamic Phase Transition of Reissner-Nordström Anti-de Sitter Black Holes on Free Energy Landscape
- Heat Engines for Dilatonic Born-Infeld Black Holes
- Thermodynamics of charged accelerating AdS black holes and holographic heat engines
- Charged AdS black holes in Gauss-Bonnet gravity and nonlinear electrodynamics
- Extended phase space thermodynamics and criticality: Brans-Dicke-Born-Infeld vs Einstein-Born-Infeld-dilaton black holes
- Thermodynamics of five-dimensional Schwarzschild black holes in the canonical ensemble
- Magnetic Charge Can Locally Stabilize Kaluza-Klein Bubbles
- New stable phase of non-uniform charged black strings
- Phase transition and heat engine efficiency of phantom AdS black holes
- Implications for the hierarchy problem, inflation and geodesic motion from fiber fabric of spacetime
- Gravitational Quantum Well as an Effective Quantum Heat Engine
- 4D dS vacua from AdS vacua of type IIB string theory and AdS distance conjecture
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- Thermodynamic topology of black holes from bulk-boundary, extended, and restricted phase space perspectives
- Thermodynamic topology of black Holes in f(R) gravity
- Universal thermodynamic topological classes of rotating black holes
- Topological classes of thermodynamics of the rotating charged AdS black holes in gauged supergravities
- Thermodynamic Topology of Horava Lifshitz Black Hole in Two Ensembles
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- Thermodynamic topology of topological black hole in -ModMax gravity's rainbow
- Thermodynamic topology of Kerr-Sen black holes via Rényi statistics
- Topology of Born-Infeld-AdS Black Hole Phase Transitions: Bulk and CFT Sides
- Topology of black hole thermodynamics via Rényi statistics
- Generalized free energy and dynamical state transition of the dyonic AdS black hole in the grand canonical ensemble
- Thermodynamic topological classes of the rotating, accelerating black holes
- Topology of black hole thermodynamics: A brief review
- The -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
- Universal thermodynamic topological classes of the charged dRGT black string