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Physical Review D
The Ernst method of removing nodal singularities from the charged C-metric representing uniformly accelerated black holes with mass m, charge q and acceleration A by "adding" an electric field E is generalized. Utilizing the new form of the C-metric found recently, Ernst's simple "equilibrium" condition mA=qE valid for small accelerations is generalized for arbitrary A. The nodal singularity is removed also in the case of accelerating and rotating charged black holes, and the corresponding equilibrium condition is determined.doi:10.1103/physrevd.82.024006 fatcat:ki575td6gzfs5f5gkmrxjgh64u