Kerr-Newman-AdS Black Hole Surrounded by Perfect Fluid Matter in Rastall Gravity

Understand

The Rastall gravity is the modified Einstein general relativity, in which the energy-momentum conservation law is generalized to $T^{\mu\nu}_{~~;\mu}=\lambda R^{,\nu}$.

• In this work, we derive the Kerr-Newman-AdS (KN-AdS) black hole solutions surrounded by the perfect fluid matter in the Rastall gravity using the Newman-Janis method and Mathematica package.
• We then discuss the black hole properties surrounded by two kinds of specific perfect fluid matter, the dark energy ($\omega=-2/3$) and the perfect fluid dark matter ($\omega=-1/3$).
• Firstly, the Rastall parameter $\kappa\lambda$ could be constrained by the weak energy condition and strong energy condition.