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

TL;DR

This work delivers an exact eight-parameter solution to the Einstein–Maxwell equations with a cosmological constant that generalizes the accelerating Kerr–Newman–NUT–de Sitter spacetime. The authors show that the new parameter set $S_1$, $S_2$, $S_3$ encodes the NUT charge, a rescaled configuration parameter, and a novel asymptotic structure, respectively, with $S_2$ linking to a cosmic-string–type conical defect in the static limit. The metric remains a rich, rotating spacetime that can harbor up to four horizons, including both black-hole and cosmic horizons, and reduces to known limits when the extra parameters vanish. Thermodynamic analysis reveals horizon temperatures and entropies and demonstrates that a full first-law formulation is only achieved in a restricted parameter subspace, underscoring challenges posed by angle-dependent infinity and non-asymptotic flatness in this generalized setting.

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 $α$, the cosmological constant $λ$ 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.