Thermodynamic topology of topological black hole in $F(R)$-ModMax gravity's rainbow

Abstract

In order to include the effect of high energy and topological parameters on black holes in $F(R)$ gravity, we consider two corrections to this gravity: energy-dependent spacetime with different topological constants, and a nonlinear electrodynamics field. In other words, we combine $F(R)$ gravity's rainbow with ModMax nonlinear electrodynamics theory to see the effects of high energy and topological parameters on the physics of black holes. For this purpose, we first extract topological black hole solutions in $F(R)$% -ModMax gravity's rainbow. Then, by considering black holes as thermodynamic systems, we obtain thermodynamic quantities and check the first law of thermodynamics. The effect of the topological parameter on the Hawking temperature and the total mass of black holes is obvious. We also discuss the thermodynamic topology of topological black holes in $F(R)$-ModMax gravity's rainbow using the off-shell free energy method. In this formalism, black holes are assumed to be equivalent to defects in their thermodynamic spaces. For our analysis, we consider two different types of thermodynamic ensembles. These are: fixed $q$ ensemble and fixed $\varphi$ ensemble. We take into account all the different types of curvature hypersurfaces that can be constructed in these black holes. The local and global topology of these black holes are studied by computing the topological charges at the defects in their thermodynamic spaces. Finally, in accordance with their topological charges, we classify the black holes into three topological classes with total winding numbers corresponding to $-1,0$, and $1$. We observe that the topological classes of these black holes are dependent on the value of the rainbow function, the sign of the scalar curvature, and the choice of ensembles.

24 pages, 17 figures, 1 table

References in corpus (88)

• Dynamics of dark energy
• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• Dark energy cosmology: the equivalent description via different theoretical models and cosmography tests
• Models of f(R) Cosmic Acceleration that Evade Solar-System Tests
• Beyond the Cosmological Standard Model
• Observational signatures of f(R) dark energy models that satisfy cosmological and local gravity constraints
• Spherically symmetric solutions of modified field equations in f(R) theories of gravity
• Solar System constraints to general f(R) gravity
• The Newtonian Limit of F(R) gravity
• Higher-dimensional black holes with a conformally invariant Maxwell source
• A non-linear duality-invariant conformal extension of Maxwell's equations
• Black Hole Solutions as Topological Thermodynamic Defects
• Asymptotic charged BTZ black hole solutions
• Topology of black hole thermodynamics
• Lovelock black holes with a nonlinear Maxwell field
• Causal Limit of Neutron Star Maximum Mass in $f(R)$ Gravity in View of GW190814
• Topological classes of thermodynamics of rotating AdS black holes
• Nonlinear electrodynamics with the maximum allowable symmetries
• Topology of black hole thermodynamics in Lovelock gravity
• Topological classes of rotating black holes
• Charged spherically symmetric black holes in $f(R)$ gravity and their stability analysis
• 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
• Absence of an Effective Horizon for Black Holes in Gravity's Rainbow
• Regular Multi-Horizon Black Holes in Modified Gravity with Non-Linear Electrodynamics
• Thermodynamic topology of 4D Dyonic AdS black holes in different ensembles
• Bardeen Black Hole Thermodynamics from Topological Perspective
• Nonlinear electrodynamics and magnetic black holes
• Topological interpretation for phase transitions of black holes
• Topological classes of thermodynamics of the four-dimensional static accelerating black holes
• Entropy and temperature of black holes in a gravity's rainbow
• Topological classification and black hole thermodynamics
• The topological natures of the Gauss-Bonnet black hole in AdS space
• Nonlinear $\arcsin$-electrodynamics and asymptotic Reissner-Nordström black holes
• Exact solutions of three dimensional black holes: Einstein gravity vs F(R) gravity
• Joule-Thomson expansion of charged AdS black holes in Rainbow gravity
• Asymptotic Reissner-Nordström solution within nonlinear electrodynamics
• Junction conditions in Palatini $f(R)$ gravity
• Topological classes of thermodynamics of the static multi-charge AdS black holes in gauged supergravities: novel temperature-dependent thermodynamic topological phase transition
• Covariant anomaly and Hawking radiation from the modified black hole in the rainbow gravity theory
• Bulk-boundary thermodynamic equivalence: a topology viewpoint
• New rotating black holes in non-linear Maxwell $f(\mathcal{R})$ gravity
• Thermodynamic topology of black holes from bulk-boundary, extended, and restricted phase space perspectives
• Topology of nonlinearly charged black hole chemistry via massive gravity
• Thermodynamic topology of black Holes in f(R) gravity
• Supermassive Neutron Stars in Axion $F(R)$ Gravity
• Topological classes of black holes in de-Sitter spacetime
• Topological classes of thermodynamics of black holes in perfect fluid dark matter background
• Topological classes of thermodynamics of the rotating charged AdS black holes in gauged supergravities
• PDM KG-Coulombic particles in cosmic string rainbow gravity spacetime and a uniform magnetic field
• Black Hole Complementarity in Gravity's Rainbow
• Stability criterion for white dwarfs in Palatini $f(R)$ gravity
• Thermodynamic Topology of $D=4,5$ Horava Lifshitz Black Hole in Two Ensembles
• Static spheres around spherically symmetric black hole spacetime
• Black holes in five-dimensional Palatini $f(R)$ gravity and implications for the AdS/CFT correspondence
• Topological classes of higher-dimensional black holes in massive gravity
• Topology in thermodynamics of regular black strings with Kaluza-Klein reduction
• On Thermal Stability of Hairy Black Holes
• Thermodynamic topology of 4D Euler-Heisenberg-AdS black hole in different ensembles
• Thermodynamic topology of Kerr-Sen black holes via Rényi statistics
• Topology of the landscape and dominant kinetic path for the thermodynamic phase transition of the charged Gauss-Bonnet AdS black holes
• Topological black hole in the theory with nonminimal derivative coupling with power-law Maxwell field and its thermodynamics
• Rényi Topology of Charged-flat Black Hole: Hawking-Page and Van-der-Waals Phase Transitions
• Gravitational wave in f(R) gravity: possible signature of sub- and super-Chandrasekhar limiting mass white dwarfs
• Analytic charged BHs in $f(\mathcal{R})$ gravity
• Accelerating AdS black holes in gravity's rainbow
• Quantum corrected thermodynamics of nonlinearly charged BTZ black holes in massive gravity's rainbow
• Topology of black hole thermodynamics via Rényi statistics
• Thin shells in (2+1)-dimensional F(R) gravity
• Can the power Maxwell nonlinear electrodynamics theory remove the singularity of electric field of point-like charges at their locations?
• Generalized free energy and dynamical state transition of the dyonic AdS black hole in the grand canonical ensemble
• Thermodynamics of Reissner-Nordström Black Holes in Higher Dimensions: Rainbow Gravity Background With General Uncertainty Principle
• Thermodynamics and remnants of Kiselev black holes in Rainbow gravity
• Gravitationally collapsing stars in $f(R)$ gravity
• Solar System tests and chameleon effect in f (R) gravity
• Analytic Electrically Charged Black Holes in $F(R)$-ModMax Theory
• Topological Interpretation of Black Hole Phase Transition in Gauss-Bonnet Gravity
• Quantum corrections to the thermodynamics of rotating charged BTZ black hole in gravity's rainbow
• Topological phantom AdS black holes in $F(R)$ gravity
• Topology and phase transition for EPYM AdS black hole in thermal potential
• Two-dimensional Lifshitz-like AdS black holes in $F(R)$ gravity
• Thermodynamic phase transition and winding number for the third-order Lovelock black hole
• Thermodynamics and Microstructures of Euler-Heisenberg Black Hole in a Cavity
• Three-dimensional accelerating AdS black holes in $F(R)$ gravity
• Topology of critical points in boundary matrix duals
• Van der Waals black holes in rainbow gravity

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• The $D$-dimensional charged AdS black holes solutions in polytropic dark energy from Barrow entropy
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