f(R) Black holes

Abstract

We study the $f(R)$-Maxwell black hole imposed by constant curvature and its all thermodynamic quantities, which may lead to the Reissner-Nordström-AdS black hole by redefining Newtonian constant and charge. Further, we obtain the $f(R)$-Yang-Mills black hole imposed by constant curvature, which is related to the Einstein-Yang-Mills black hole in AdS space. Since there is no analytic black hole solution in the presence of Yang-Mills field, we obtain asymptotic solutions. Then, we confirm the presence of these solutions in a numerical way.

5 figures, 24 pages, version to appear in GERG

References in corpus (13)

• f(R) theories
• Models of f(R) Cosmic Acceleration that Evade Solar-System Tests
• Modified f(R) gravity consistent with realistic cosmology: from matter dominated epoch to dark energy universe
• Class of viable modified $f(R)$ gravities describing inflation and the onset of accelerated expansion
• Black Holes in f(R) theories
• Colorful horizons with charge in anti-de Sitter space
• Inflationary cosmology and the late-time accelerated expansion of the universe in non-minimal Yang-Mills-$F(R)$ gravity and non-minimal vector-$F(R)$ gravity
• Thermodynamics and phase transitions in the Born-Infeld-anti-de Sitter black holes
• Ghost Constraints on Modified Gravity
• Stability of f(R) black holes
• Phase transition between non-extremal and extremal Reissner-Nordström black holes
• Charged anti-de Sitter scalar-tensor black holes and their thermodynamic phase structure
• Graviton and scalar propagations on AdS(4) space in f(R) gravities

Cited by in corpus (78)

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• On the Universality of Inner Black Hole Mechanics and Higher Curvature Gravity
• Instabilities and Anti-Evaporation of Reissner-Nordström Black Holes in modified $F(R)$ gravity
• Exact solutions of three dimensional black holes: Einstein gravity vs F(R) gravity
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• Complexity growth rates for AdS black holes in massive gravity and $f(R)$ gravity
• Thermodynamic geometry of black holes in f(R) gravity
• Buchdahl-Bondi limit in modified gravity: Packing extra effective mass in relativistic compact stars
• Combined effects of f(R) gravity and conformally invariant Maxwell field on the extended phase space thermodynamics of higher-dimensional black holes
• Thermodynamic topology of black Holes in f(R) gravity
• 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
• Entropy-Product Rules for Charged Rotating Black Holes
• Reissner-Nordström Black Holes in Mimetic $F(R)$ Gravity
• Quasinormal modes as a distinguisher between general relativity and f(R) gravity
• Thin-shell wormholes with a double layer in quadratic F(R) gravity
• Instability of a Kerr black hole in f(R) gravity
• Detailed study of geodesics in the Kerr-Newman-(A)dS spactime and the rotating charged black hole spacetime in $f(R)$ gravity
• A Note on Schwarzschild de Sitter Black Holes in Mimetic $F(R)$ Gravity
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• Coexistence curves and molecule number densities of AdS black holes in the reduced parameter space
• Charged accelerating black hole in $f(R)$ gravity
• Curvature Scalarization of Black Holes in f(R) Gravity
• Violations of the weak cosmic censorship conjecture in the higher dimensional $f(R)$ black holes with pressure
• The Entropy Relations of Black Holes with Multihorizons in Higher Dimensions
• Action Growth in $f\left(R\right)$ Gravity
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• Pure double-layer bubbles in quadratic F(R) gravity
• The Entropy Sum of (A)dS Black Holes in Four and Higher Dimensions
• Accelerated observers and the notion of singular spacetime
• Phase transition and thermodynamic geometry of $f(R)$ AdS black holes in the grand canonical ensemble
• Propagating degrees of freedom in f(R) gravity
• Thin shells in (2+1)-dimensional F(R) gravity
• Constant curvature f(R) gravity minimally coupled with Yang-Mills field
• Solar System tests and chameleon effect in f (R) gravity
• Cosmological Einstein-Maxwell model with $g$-essence
• New rotating AdS/dS black holes in $\mathrm{f}(\mathrm{R})$ gravity
• Rotating black strings in $f(R)$-Maxwell theory
• Newtonian and Post Newtonian Expansionfree Fluid Evolution in f(R) Gravity
• Analytic Electrically Charged Black Holes in $F(R)$-ModMax Theory
• Rotating black hole in $f(R)$ theory
• Thermodynamic Products in Extended Phase Space
• Entanglement Entropy and Phase Portrait of f(R)-AdS Black Holes in the Grand Canonical Ensemble
• Revisiting van der Waals like behavior of f(R) AdS black holes via the two point correlation function
• Topological phantom AdS black holes in $F(R)$ gravity
• Infinitely degenerate exact Ricci-flat solutions in f(R) gravity
• A Survey of Strong Cosmic Censorship Conjecture Beyond Einstein's Gravity
• Looking for empty topological wormhole spacetimes in $F(R)$-modified gravity
• A consistent and unified picture for critical phenomena of $f(R)$ AdS black holes
• Entropy of black hole in the infinite-derivative gravity
• Thin shells in F(R) gravity with non-constant scalar curvature
• CFT and Logarithmic Corrections to the Black Hole Entropy Product Formula
• Thin shells surrounding black holes in F(R) gravity
• Black hole formation from a null fluid in extended Palatini gravity
• Thin-shell wormholes in (2+1)-dimensional F(R) theories
• 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
• Assessing WGC Compatibility in ModMax Black Holes via Photon Spheres Analysis and WCCC Validation
• Charged accelerating AdS black hole of $f(R)$ gravity and the Joule-Thomson expansion
• Black hole solutions and thin shells in N-dimensional F(R) gravity with a conformally invariant Maxwell field
• Cosmic acceleration in asymptotically Ricci flat Universe
• Black Hole Solutions in Non-Minimally Coupled Weyl Connection Gravity
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• Shadow of F(R)-EH Black Hole and Constraints from EHT Observations
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• Null hypersurface caustics and super-entropic black holes
• Accelerating electrically charged ModMax black hole solutions in $F(R)$ gravity
• Thermodynamics, Phase Transitions, and Geodesic Structure of F(R)-Phantom Banados-Teitelboim-Zanelli (BTZ) Black Holes
• Restricted Phase Space Thermodynamics of Charged Static and Charged Rotating Black Holes in $f(R)$ Gravity
• Thermodynamic geometric analysis of RN black holes under f(R) gravity