Charged accelerating black hole in $f(R)$ gravity

Abstract

We obtain a charged accelerating AdS black hole solution in $f(R)$ gravity and investigate its thermodynamic behaviour. We consider low-acceleration black holes that do not have an acceleration horizon and obtain the first law of thermodynamics for them. We further study the parameter space of charged slowly accelerating $f(R)$ AdS black holes before investigating the behaviour of the free energy in both the canonical and grand canonical ensembles. We find a generalization of the reverse isoperimetric inequality, applicable to black holes in $f(R)$ gravity, that indicates these black holes can become super-entropic relative to their counterparts in Einstein gravity.

arXiv comment9 pages

References in corpus (62)

• f(R) Theories Of Gravity
• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• Extended Theories of Gravity
• The Cosmological Constant
• Black Hole Entropy is Noether Charge
• Quasilocal Energy and Conserved Charges Derived from the Gravitational Action
• P-V criticality of charged AdS black holes
• Enthalpy and the Mechanics of AdS Black Holes
• Modified f(R) gravity consistent with realistic cosmology: from matter dominated epoch to dark energy universe
• Extended Theories of Gravity and their Cosmological and Astrophysical Applications
• Black hole chemistry: thermodynamics with Lambda
• Black Hole Enthalpy and an Entropy Inequality for the Thermodynamic Volume
• Surface Terms as Counterterms in the AdS/CFT Correspondence
• Pressure and volume in the first law of black hole thermodynamics
• Black Hole Thermodynamics and Negative Entropy in deSitter and Anti-deSitter Einstein-Gauss-Bonnet gravity
• Asymptotically Anti-de Sitter Space-times: Conserved Quantities
• Exact Description of Black Holes on Branes
• Misner String Entropy
• Duality between Electric and Magnetic Black Holes
• The Microcanonical Functional Integral. I. The Gravitational Field
• Stability of Cosmological Solution in f(R) Models of Gravity
• A f(R) gravity without cosmological constant
• Cosmological and black hole brane-world Universes in higher derivative gravity
• On the LCDM Universe in f(R) gravity
• Thermodynamics of Accelerating Black Holes
• Interpreting the C-metric
• Higher dimensional charged $f(R)$ black holes
• Holographic Thermodynamics of Accelerating Black Holes
• On Gauss-Bonnet black hole entropy
• Super-Entropic Black Holes
• Pair of accelerated black holes in an anti-de Sitter background: the AdS C-metric
• Charged spherically symmetric black holes in $f(R)$ gravity and their stability analysis
• f(R) Black holes
• Quasi-Local Conserved Charges in Covariant Theory of Gravity
• $P-V$ criticality of AdS black hole in $f(R)$ gravity
• Black Hole Thermodynamics with Conical Defects
• Conserved Quantities in Kerr-anti-de Sitter Spacetimes in Various Dimensions
• Holographic Complexity Equals Which Action?
• The Case of the Missing Gates: Complexity of Jackiw-Teitelboim Gravity
• Thermodynamics of Regular Accelerating Black Holes
• Instabilities and Anti-Evaporation of Reissner-Nordström Black Holes in modified $F(R)$ gravity
• Accelerating black holes in anti-de Sitter universe
• Ultraspinning limits and super-entropic black holes
• Thermodynamics of Charged, Rotating, and Accelerating Black Holes
• Boundary Term in Metric f(R) Gravity: Field Equations in the Metric Formalism
• Radiation from accelerated black holes in an anti-de Sitter universe
• Gravitational Waves in $F(R)$ Gravity: Scalar Waves and the Chameleon Mechanism
• Combined effects of f(R) gravity and conformally invariant Maxwell field on the extended phase space thermodynamics of higher-dimensional black holes
• Radiation from accelerated black holes in de Sitter universe
• Holographic entropy and brane FRW-dynamics from AdS black hole in d5 higher derivative gravity
• On $f(R)$ gravity in scalar-tensor theories
• Black hole chemistry and holography in generalized quasi-topological gravity
• On generalized quasi-topological cubic-quartic gravity: thermodynamics and holography
• Super-Entropic Black Holes and the Kerr-CFT Correspondence
• $P-v$ criticality of a specific black hole in $f(R)$ gravity coupled with Yang-Mills field
• Snapping swallowtails in accelerating black hole thermodynamics
• A conical deficit in the AdS4/CFT3 correspondence
• Finely Split Phase Transitions of Rotating and Accelerating Black Holes
• Phase transition and thermodynamic geometry of $f(R)$ AdS black holes in the grand canonical ensemble
• Abelian Higgs Hair for AdS-Schwarzschild Black Hole
• Thermodynamical stability of $f(R)$-AdS black holes in grand canonical ensemble
• Action Growth of Dyonic Black Holes and Electromagnetic Duality

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• Topological phantom AdS black holes in $F(R)$ gravity
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• The fastest relaxation rate of higher-dimensional Reissner--Nordström black hole
• Three-dimensional accelerating AdS black holes in $F(R)$ gravity
• Stable circular orbits of spinning test particles around accelerating Kerr black hole
• Effects of the acceleration on holographic complexity
• Charged accelerating AdS black hole of $f(R)$ gravity and the Joule-Thomson expansion
• Null hypersurface caustics and super-entropic black holes
• Accelerating electrically charged ModMax black hole solutions in $F(R)$ gravity
• $f(R)$ Gravity Effects on Charged Accelerating AdS Black Holes using Holographic Tools
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