Rotating and accelerating black holes with cosmological constant

TL;DR

This paper introduces a new rotating black hole solution with a cosmological constant, generalizing previous models, and thoroughly analyzes its geometric and physical properties in de Sitter or anti-de Sitter space.

Contribution

It presents a novel form of the rotating C-metric with cosmological constant, enabling comprehensive analysis of black holes with rotation and acceleration in (A)dS space.

Findings

Identified the full parameter ranges for the solution.

Analyzed the geometrical and physical properties of the black holes.

Explored various limiting cases of the solution.

Abstract

We propose a new form of the rotating C-metric with cosmological constant, which generalises the form found by Hong and Teo for the Ricci-flat case. This solution describes the entire class of spherical black holes undergoing rotation and acceleration in dS or AdS space-time. The new form allows us to identify the complete ranges of coordinates and parameters of this solution. We perform a systematic study of its geometrical and physical properties, and of the various limiting cases that arise from it.