We propose a new form of the rotating C-metric with cosmological constant, which generalizes 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.

• Received 13 June 2016

DOI:https://doi.org/10.1103/PhysRevD.94.044001