Generalized accelerating Kerr-Newman-NUT-de Sitter black holes

Abstract

We obtain rotating black hole solutions to the Einstein-Maxwell equations with the cosmological constant. There are eight parameters in the solutions. They are the physical mass $M$, the electric charge $Q$, the specific angular momentum $a$, the acceleration $\alpha$, the cosmological constant $\lambda$ and other three parameters, $S_1\;, S_2$ and $S_3$. We show that $S_3$ and $S_1$ are actually the well-known NUT charge and the rescaled parameter $C$, respectively, for the Kerr-NUT spacetime. As for $S_2$, it is a new parameter although it has the same physical meaning of $C$ in the weak field limit. In the case of static limit, $S_2$ describes a conical defect along the axis of revolution, which corresponds to a cosmic string of tension. Therefore, the solutions extend the accelerating Kerr-Newman-NUT-de Sitter spacetime.