New Rotating Black Hole Solutions With Imperfect Fluid Energy-Momentum Tensor In $f(R)$ Gravity

Abstract

We find a new class of exact solutions for rotating black holes in $f(R)$ gravity in presence of imperfect fluid. We find that the exact solutions are holographically dual to a hidden conformal field theory. Moreover we consider another class of exact solutions for rotating black holes in $f(R)$ gravity, which is obtained through a Lorentz boost transformation on a static spherical symmetry solutions in $f(R)$ gravity. We also find that the boosted exact solutions are holographically dual to a hidden conformal field theory. Comparing the CFT temperatures and the mode numbers of the two CFTs, we suggest a conjecture that, "Two identical rotating black holes (the same mass and the horizon) in $f(R)$ theory could be distinguished by looking at their dual CFT temperatures, and the dual CFT mode numbers. The rotating black hole in the presence of matter has higher CFT temperatures and higher CFT mode numbers, compared to the vacuum boosted rotating black hole".

arXiv comment29 pages, 10 figures, typos corrected

References in corpus (54)

• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• The Kerr/CFT Correspondence
• Cylindrical Black Hole in General Relativity
• One-loop f(R) gravity in de Sitter universe
• Observational constraints of $f(Q)$ gravity
• Hidden Conformal Symmetry of the Kerr Black Hole
• Energy conditions in f(R)-gravity
• Energy Conditions in $f(Q)$ gravity
• Entropy and universality of Cardy-Verlinde formula in dark energy universe
• Accelerated Expansion of the Universe in Non-minimally Coupled Gravity
• Cosmography in $f(Q)$ gravity
• From static to rotating to conformal static solutions: Rotating imperfect fluid wormholes with(out) electric or magnetic field
• Observational constraints on cosmological solutions of $f(Q)$ theories
• Some exact solutions of F(R) gravity with charged (a)dS black hole interpretation
• Rescaled Einstein-Hilbert Gravity from $f(R)$ Gravity: Inflation, Dark Energy and the Swampland Criteria
• Higher Dimensional Charged Rotating Solutions in (A)dS Space-times
• New observational constraints on $f(T)$ gravity through gravitational-wave astronomy
• An anisotropic version of Tolman VII solution in $f(R,T)$ gravity via Gravitational Decoupling MGD Approach
• Traversable Wormhole Solutions in $f(R)$ Gravity Via Karmarkar Condition
• Local symmetries and physical degrees of freedom in $f(T)$ gravity: a Dirac Hamiltonian constraint analysis
• Black hole entropy in scalar-tensor and f(R) gravity: an overview
• Horizon thermodynamics in $f(R)$ theory
• Kerr-Newman-NUT-Kiselev black holes in Rastall theory of gravity and Kerr/CFT Correspondence
• Galaxy morphology rules out astrophysically relevant Hu-Sawicki $f(R)$ gravity
• Data-driven Reconstruction of the Late-time Cosmic Acceleration with f(T) Gravity
• Foundational issues in f(T) gravity theory
• New rotating black holes in non-linear Maxwell $f(\mathcal{R})$ gravity
• Hidden conformal symmetry of rotating charged black holes
• Forecast constraints on $f(T)$ gravity with gravitational waves from compact binary coalescences
• The Energy-Momentum Tensor for a Dissipative Fluid in General Relativity
• Bianchi identities in f(T) gravity: paving the way to confrontation with astrophysics
• Approaches to spherically symmetric solutions in f(T) gravity
• Traversable wormholes in $f(R)$-massive gravity
• Gravitational wave propagation in $f(R)$ models: New parametrizations and observational constraints
• Hidden conformal symmetry for Kerr-Newman-NUT-AdS black holes
• Zeta(n) via hyperbolic functions
• Notes on the Hidden Conformal Symmetry in the Near Horizon Geometry of the Kerr Black Hole
• Strongest constraint in $f(R)=R+\alpha R^2$ gravity: stellar stability
• An Accurate Fitting Function For Scale-dependent Growth Rate in Hu-Sawicki $f(R)$ Gravity
• Deformed conformal symmetry of Kerr-Newman-NUT-AdS black holes
• Thin shells in (2+1)-dimensional F(R) gravity
• Inflation from $f(R)$ theories in gravity's rainbow
• Rotating charged AdS solutions in quadratic $f(T)$ gravity
• Post-Newtonian $\gamma$-like parameters and the gravitational slip in scalar-tensor and $f(R)$ theories
• LRS Bianchi I model with bulk viscosity in f(R,T) gravity
• Similarity solutions for the Wheeler-DeWitt equation in $f\left(R\right)$-cosmology
• The little rip in classical and quantum $f(R)$ cosmology
• Superradiant (In)stability, Greybody Radiation, and Quasinormal Modes of Rotating Black Holes in non-linear Maxwell f (R) Gravity
• Matching tetrads in f(T) gravity
• Quantum Dynamics of the Isotropic Universe in the Metric f(R) Gravity
• Noether Symmetry Approach to the Non-Minimally Coupled $Y(R)F^2$ Gravity
• Hidden conformal symmetry of the rotating charged AdS black holes in quadratic $f$($T$) gravity
• On "Rotating charged AdS solutions in quadratic $f(T)$ gravity": New rotating solutions
• Energy conditions for non-timelike thin shells

Cited by in corpus (1)

• New Lorentzian Taub-NUT and Euclidean Eguchi-Hanson Solutions in $f(R)$ gravity