Causal structure of accelerating black holes

© The Author(s) 2022. This work was partially supported by the MICINN (Spain) projects PID2019-107394GB-I00 and PID2020-118159GB-C44. S.A.O. thanks IPARCOS-UCM and the CAM/FEDER Project No.S2018/TCS-4342 (QUITEMAD-CM) for funding support.
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.
Ministerio de Ciencia e Innovación (MICINN)/AEI
Comunidad de Madrid
Depto. de Física Teórica
Fac. de Ciencias Físicas
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