CFT Duals on Rotating Charged Black Holes Surrounded by Quintessence

Abstract

We demonstrate that Kerr/CFT duality can be extended to rotating charged black hole solution surrounded by quintessence in Rastall gravity. Since Rastall gravity can be considered as $F(R,T)=R+\beta T$ theory with the addition of a matter term, so the gravitational Lagrangian is resemblant to Einstein general relativity. In fact, the resulting central term is coincident to the central term in the general relativity since $T$ is only a trace of the matter term. We then exhibit that the entropy from CFT of this black hole is equivalent with the Bekenstein-Hawking entropy with no correction related to the Rastall coupling constant. Moreover, when Rastall coupling constant $\kappa \lambda$ is switched off and $a$ is approaching zero, we may extend the solution to the 5D black hole solution. It is found that this extremal solution contains twofold CFT duals that we call as $Q$-picture and $P$-picture. In both pictures, the CFT entropy reproduces exactly the Bekenstein-Hawking entropy for Reissner-Nordström black hole surrounded by quintessence. The results establish that, for all black holes surrounded by quintessence, the microscopic entropies of the dual CFTs agree with the Bekenstein-Hawking entropies.

10 pages

References in corpus (17)

• Dynamics of dark energy
• CFT Duals for Extreme Black Holes
• Thermodynamics of de Sitter Black Holes: Thermal Cosmological Constant
• Kerr-AdS/CFT Correspondence in Diverse Dimensions
• Central Charges in Extreme Black Hole/CFT Correspondence
• Kerr/CFT Correspondence in the Low Energy Limit of Heterotic String Theory
• The Brans-Dicke-Rastall theory
• A connection between Rastall-type and f(R, T) gravities
• Hidden conformal symmetry of rotating charged black holes
• Hidden Conformal Symmetry of Kerr-Bolt Spacetimes
• Hidden conformal symmetry of extreme and non-extreme Einstein-Maxwell-Dilaton-Axion black holes
• Holographic description of Kerr-Bolt-AdS-dS Spacetimes
• Holographic Dual of Linear Dilaton Black Hole in Einstein-Maxwell-Dilaton-Axion Gravity
• Hidden Conformal Symmetry of Extremal Kerr-Bolt Spacetimes
• Deformed conformal symmetry of Kerr-Newman-NUT-AdS black holes
• Hidden conformal symmetry of extremal Kaluza-Klein black hole in four dimensions
• A Study of Universal Thermodynamics in Lanczos-Lovelock gravity

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• Replica Trick Calculation for Entanglement Entropy of Static Black Hole Spacetimes
• Thermodynamics of the Weyl Geometric Gravity Black Holes
• Near-extremal Kerr-like ECO in the Kerr/CFT Correspondence in Higher Spin Perturbations