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PreprintCC BY 4.0arXiv

A new regime of the C-metric: Super accelerating black holes

Abstract

We define and investigate the super accelerating regime of the charged C-metric, which arises at large acceleration. In this regime, the polar coordinate must be restricted to a smaller interval within (0,π), and the resulting boundary defines a new axis of symmetry. This changes the conical singularity structure of the spacetime and, consequently, its string/strut interpretation. We further show that, when the conical defect at the south pole is removed, the Komar mass takes the simple form MK=1/(4A), up to the normalization of the time translation Killing vector. Finally, we explore the near extremal limits of this regime, identifying new limiting geometries.

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BibTeX
@misc{silva2026regime,
  title = {{A new regime of the C-metric: Super accelerating black holes}},
  author = {Francisco Silva},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.25110},
  eprint = {2610.25110},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.25110},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - A new regime of the C-metric: Super accelerating black holes
AU  - Francisco Silva
PY  - 2026
DA  - 2026/10/18
PB  - arXiv
DO  - 10.48550/arxiv.2610.25110
UR  - https://arxiv.org/abs/2610.25110
AB  - We define and investigate the super accelerating regime of the charged C-metric, which arises at large acceleration. In this regime, the polar coordinate must be restricted to a smaller interval within (0,π), and the resulting boundary defines a new axis of symmetry. This changes the conical singularity structure of the spacetime and, consequently, its string/strut interpretation. We further show that, when the conical defect at the south pole is removed, the Komar mass takes the simple form M_K=1/(4A), up to the normalization of the time translation Killing vector. Finally, we explore the near extremal limits of this regime, identifying new limiting geometries.
ER  -