Higher dimensional charged $f(R)$ black holes

Abstract

We construct a new class of higher dimensional black hole solutions of $f(R)$ theory coupled to a nonlinear Maxwell field. In deriving these solutions the traceless property of the energy-momentum tensor of the matter filed plays a crucial role. In $n$-dimensional spacetime the energy-momentum tensor of conformally invariant Maxwell field is traceless provided we take $n=4p$, where $p$ is the power of conformally invariant Maxwell lagrangian. These black hole solutions are similar to higher dimensional Reissner-Nordstrom AdS black holes but only exist for dimensions which are multiples of four. We calculate the conserved and thermodynamic quantities of these black holes and check the validity of the first law of black hole thermodynamics by computing a Smarr-type formula for the total mass of the solutions. Finally, we study the local stability of the solutions and find that there is indeed a phase transition for higher dimensional $f(R)$ black holes with conformally invariant Maxwell source.

13 pages, 7 figures

References in corpus (38)

• Dynamics of dark energy
• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• f(R) theories
• Extended Theories of Gravity
• Introduction to Modified Gravity and Gravitational Alternative for Dark Energy
• Modified gravity with negative and positive powers of the curvature: unification of the inflation and of the cosmic acceleration
• Quasilocal Energy and Conserved Charges Derived from the Gravitational Action
• Curvature Quintessence
• Modified f(R) gravity consistent with realistic cosmology: from matter dominated epoch to dark energy universe
• Dark Energy
• Cosmological viability of f(R)-gravity as an ideal fluid and its compatibility with a matter dominated phase
• One-loop f(R) gravity in de Sitter universe
• Temperature, Energy, and Heat Capacity of Asymptotically Anti-De Sitter Black Holes
• Low surface brightness galaxies rotation curves in the low energy limit of $R^n$ gravity : no need for dark matter?
• Where new gravitational physics comes from: M-theory?
• Modified gravity and its reconstruction from the universe expansion history
• Dark energy and dark matter as curvature effects
• Higher-dimensional black holes with a conformally invariant Maxwell source
• The future evolution and finite-time singularities in $F(R)$-gravity unifying the inflation and cosmic acceleration
• Black Holes in f(R) theories
• Higher-dimensional charged black holes solutions with a nonlinear electrodynamics source
• Entropy and universality of Cardy-Verlinde formula in dark energy universe
• Lovelock black holes with a nonlinear Maxwell field
• Static Spherically Symmetric Solutions in F(R) Gravity
• Thermodynamics of charged black holes with a nonlinear electrodynamics source
• f(R) Black holes
• Black hole solutions in F(R) gravity with conformal anomaly
• Some exact solutions of F(R) gravity with charged (a)dS black hole interpretation
• Thermodynamics of Rotating Black Branes in Gauss-Bonnet-nonlinear Maxwell Gravity
• Topological Black Holes in Gauss-Bonnet Gravity with conformally invariant Maxwell source
• Conserved charges for black holes in Einstein-Gauss-Bonnet gravity coupled to nonlinear electrodynamics in AdS space
• Inflation from R^2 gravity: a new approach using nonlinear electrodynamics
• The relation between F(R) gravity and Einstein-conformally invariant Maxwell source
• Rotating Black String with Nonlinear Source
• Rotating Black Branes in the presence of nonlinear electromagnetic field
• Quantum Statistical Relation for black holes in nonlinear electrodynamics coupled to Einstein-Gauss-Bonnet AdS gravity
• Accelerating universe in $f(\mathcal{R})$ brane gravity
• A Rotating Charged Black Hole Solution in f(R) Gravity

Cited by in corpus (83)

• Phase transition and thermodynamic geometry of Einstein-Maxwell-dilaton black holes
• Charged spherically symmetric black holes in $f(R)$ gravity and their stability analysis
• $P-V$ criticality of AdS black hole in $f(R)$ gravity
• On the Universality of Inner Black Hole Mechanics and Higher Curvature Gravity
• Thermodynamics of higher dimensional topological dilaton black holes with power-law Maxwell field
• Instabilities and Anti-Evaporation of Reissner-Nordström Black Holes in modified $F(R)$ gravity
• Quasiperiodic oscillations, weak field lensing and shadow cast around black holes in Symmergent gravity
• Stability of motion and thermodynamics in charged black holes in $f(T)$ gravity
• Thermodynamics of topological nonlinear charged Lifshitz black holes
• Spherically symmetric black holes with electric and magnetic charge in extended gravity: Physical properties, causal structure, and stability analysis in Einstein's and Jordan's frames
• Complexity growth rates for AdS black holes in massive gravity and $f(R)$ gravity
• Non-trivial black hole solutions in $f(R)$ gravitational theory
• The effect of $f(R,T)$ modified gravity on mass and radius of pulsar HerX1
• New rotating black holes in non-linear Maxwell $f(\mathcal{R})$ gravity
• Combined effects of f(R) gravity and conformally invariant Maxwell field on the extended phase space thermodynamics of higher-dimensional black holes
• Dilaton black holes with power law electrodynamics
• F(R) gravity's rainbow and its Einstein counterpart
• The instabilities and (anti)-evaporation of Schwarzschild-de Sitter black holes in modified gravity
• Cyclic and heteroclinic flows near general static spherically symmetric black holes
• Charged AdS black holes in Gauss-Bonnet gravity and nonlinear electrodynamics
• Reissner-Nordström Black Holes in Mimetic $F(R)$ Gravity
• Instability of a Kerr black hole in f(R) gravity
• Thermodynamics of charged rotating dilaton black branes with power-law Maxwell field
• A Note on Schwarzschild de Sitter Black Holes in Mimetic $F(R)$ Gravity
• On Einstein-non linear-Maxwell-Yukawa de-Sitter black hole thermodynamics
• Mimetic Euler-Heisenberg theory, charged solutions and multi-horizon black holes
• Charged accelerating black hole in $f(R)$ gravity
• Effects of a string cloud on the criticality and efficiency of AdS black holes as heat engines
• The Entropy Relations of Black Holes with Multihorizons in Higher Dimensions
• Action Growth in $f\left(R\right)$ Gravity
• Violations of the weak cosmic censorship conjecture in the higher dimensional $f(R)$ black holes with pressure
• A Note on Entropy Relations of Black Hole Horizons
• The Universal Property of the Entropy Sum of Black Holes in All Dimensions
• Holographic conductivity in the massive gravity with power-law Maxwell field
• Asymptotically Lifshitz black hole solutions in F(R) gravity
• Analytic charged BHs in $f(\mathcal{R})$ gravity
• The Entropy Sum of (A)dS Black Holes in Four and Higher Dimensions
• Alternative approach to the critical behavior and microscopic structure of the power-Maxwell black holes
• $Q$-$\Phi$ criticality and microstructure of charged AdS black holes in $f(R)$ gravity
• Phase transition and thermodynamic geometry of $f(R)$ AdS black holes in the grand canonical ensemble
• Instability and no-hair paradigm in d-dimensional charged-AdS black holes
• New rotating AdS/dS black holes in $\mathrm{f}(\mathrm{R})$ gravity
• Solar System tests and chameleon effect in f (R) gravity
• Thermodynamical stability of $f(R)$-AdS black holes in grand canonical ensemble
• Geodesic of nonlinear electrodynamics and stable photon orbits
• Rotating black hole in $f(R)$ theory
• Specific neutral and charged black holes in $f(R)$ gravitational theory
• Uniqueness of non-trivial spherically symmetric black hole solution in special classes of F(R) gravitational theory
• Revisiting compact star in $F(R)$ gravity: Roles of chameleon potential and energy conditions
• The upper critical magnetic field of holographic superconductor with conformally invariant power-Maxwell electrodynamics
• Revisiting van der Waals like behavior of f(R) AdS black holes via the two point correlation function
• Black Holes with Electric and Magnetic Charges in $F(R)$ Gravity
• Looking for empty topological wormhole spacetimes in $F(R)$-modified gravity
• Gyroscope precession frequency analysis of a five dimensional charged rotating Kaluza-Klein black hole
• Three-dimensional black holes with scalar hair coupled to a Maxwell-like electrodynamics
• A consistent and unified picture for critical phenomena of $f(R)$ AdS black holes
• Dirty black hole supported by a uniform electric field in Einstein-Nonlinear Electrodynamics-Dilaton theory
• Static and radiating dyonic black holes coupled to conformally invariant electrodynamics in higher dimensions
• Multi-horizons black hole solutions, photon sphere and perihelion shift in weak ghost-free Gauss-Bonnet theory of gravity
• New black hole solutions in three-dimensional $f(R)$ gravity
• Black holes with Lagrange multiplier and potential in mimetic-like gravitational theory: multi-horizon black holes
• Holographic DC Conductivity for a Power-law Maxwell Field
• Slow-rotating charged black hole solution in dynamical Chern-Simons modified gravity
• Meissner-like effect and conductivity of power-Maxwell holographic superconductors
• Quadratic and cubic spherically symmetric black holes in the modified teleparallel equivalent of general relativity: Energy and thermodynamics
• Thermodynamic approach to field equations in Lovelock gravity and f(R) gravity revisited
• Thermal phase transition in $F(R)$-charged $Ad{S}_4$-scalar theory
• An innovative black hole solution and thermodynamic properties in higher-order curvature gravity with a scalar field
• Black hole solutions and thin shells in N-dimensional F(R) gravity with a conformally invariant Maxwell field
• Charged accelerating AdS black hole of $f(R)$ gravity and the Joule-Thomson expansion
• Universal $p$-form black holes in generalized theories of gravity
• Stability of black holes in f(R) gravity
• Cosmic acceleration in asymptotically Ricci flat Universe
• Anti-Evaporation/Evaporation of $n$-dimensional Reissner-Nordström Black Hole
• Holographic Thermodynamics of Higher-Dimensional AdS Black Holes with CFT Rescaling
• Thin-shell wormholes in N-dimensional F(R) gravity
• Magnetic black hole in Einstein-Dilaton-Square root nonlinear electrodynamics
• Charged spherically symmetric Taub-NUT black hole solutions in $f(R)$ gravity
• A black hole solution of higher-dimensional Weyl-Yang-Kaluza-Klein theory
• Null hypersurface caustics and super-entropic black holes
• Holographic paramagnetic-ferromagnetic phase transition of Power-Maxwell-Gauss-Bonnet black holes
• Lifshitz scaling effects on the holographic paramagnetic-ferromagnetic phase transition
• $f(R)$ Gravity Effects on Charged Accelerating AdS Black Holes using Holographic Tools