CFT Duals on Rotating Charged Black Holes Surrounded by Quintessence

TL;DR

This paper extends Kerr/CFT duality to rotating charged black holes with quintessence in Rastall gravity, showing the dual CFT entropy matches Bekenstein-Hawking entropy and exploring higher-dimensional solutions with dual pictures.

Contribution

It demonstrates the extension of Kerr/CFT duality to black holes in Rastall gravity with quintessence and explores dual CFT descriptions in higher dimensions.

Findings

CFT entropy matches Bekenstein-Hawking entropy for these black holes.

The central charge is unaffected by Rastall coupling.

Two dual CFT pictures reproduce the black hole entropy.

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-Nordstr\"om 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.