# Kerr-Newman-NUT-Kiselev black holes in Rastall theory of gravity and Kerr/CFT Correspondence

## TL;DR

This paper introduces a new rotating charged black hole solution in Rastall gravity, explores its properties, thermodynamics, and confirms the Kerr/CFT correspondence applies, highlighting differences from Einstein gravity.

## Contribution

It presents a novel black hole solution in Rastall gravity and demonstrates the validity of Kerr/CFT correspondence for this solution.

## Key findings

- Rastall gravity differs from Einstein gravity in black hole properties.
- The new black hole solution exhibits unique horizon and ergosphere features.
- The Kerr/CFT correspondence holds for the extremal black hole in Rastall gravity.

## Abstract

We present a new twisted rotating black hole solution by performing Demia{\'n}ski-Newman-Janis algorithm to the electrically and dyonically charged black hole with quintessence in Rastall theory of gravity. Using our black hole solution, we argue that Rastall gravity is not equivalent with Einstein gravity. For further explanation, the black hole properties such as the horizon and ergosphere are studied for which there are some different properties for those theories. Some thermodynamic properties of the black hole solution are also discussed. At the end, considering the Kerr/CFT correspondence is valid for our black hole solution, the central charge from the CFT of this extremal solution is derived.