Causal structure of accelerating black holes

Abstract

Accelerating black holes are described by the so-called C-metric. In this work, we analyse the causal structure of such black holes by using null geodesics. We construct explicitly the relevant Penrose diagrams. First, we recover well-known results associated with the sub-accelerating black holes. Then, we extend the study to the super-accelerating case, in which an additional essential singularity appears. In addition, we consider accelerating black holes with negative masses. We show that they are equivalent to the geometry described by the black hole metric beyond conformal infinity. We compare our results with the Schwarzschild geometry to facilitate understanding and to highlight the interest of the new features.

Charged Accelerating BTZ Black Holes

“…where C(m, k, Λ, 𝛼, q) is a constant which depends m, k, Λ, 𝛼, and q. We should note that the solution (38), satisfy all field equations of Equation (32). It is necessary that the obtained charged accelerating BTZ black hole solution in Equation (38) reduces to known charged BTZ black hole in the Einstein-CIM gravity [69] when ignoring the acceleration parameter.…”

“…The causal structure of accelerating black holes has been discussed in refs. [37,38]. Geodesics and gravitational lensing in the spacetime of these black holes have been studied in refs.…”