Accelerating black holes in higher-derivative gravity
Abstract
Accelerating black holes in General Relativity are described by the C-metric. We study how this geometry is modified by higher-derivative corrections, focusing on cubic curvature terms of even and odd parity. Using a suitable metric ansatz, we obtain closed-form solutions at first order in the coupling constants. The corrected geometries contain new integration constants, which correspond to physical deformations of the C-metric, and exhibit different behavior depending on the parity of the correction. In particular, parity-violating terms generate an off-diagonal metric component and induce rotation. For AdS solutions, we analyze the thermodynamics, including the Hawking temperature, entropy, and string tensions, and discuss the subtleties in defining the mass and thermodynamic string lengths.
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BibTeX
@misc{cano2026accelerating,
title = {{Accelerating black holes in higher-derivative gravity}},
author = {Pablo A. Cano and Marina David and Simen Jacobs},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.12781},
eprint = {2609.12781},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.12781},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Accelerating black holes in higher-derivative gravity
AU - Pablo A. Cano
AU - Marina David
AU - Simen Jacobs
PY - 2026
DA - 2026/09/27
PB - arXiv
DO - 10.48550/arxiv.2609.12781
UR - https://arxiv.org/abs/2609.12781
AB - Accelerating black holes in General Relativity are described by the C-metric. We study how this geometry is modified by higher-derivative corrections, focusing on cubic curvature terms of even and odd parity. Using a suitable metric ansatz, we obtain closed-form solutions at first order in the coupling constants. The corrected geometries contain new integration constants, which correspond to physical deformations of the C-metric, and exhibit different behavior depending on the parity of the correction. In particular, parity-violating terms generate an off-diagonal metric component and induce rotation. For AdS solutions, we analyze the thermodynamics, including the Hawking temperature, entropy, and string tensions, and discuss the subtleties in defining the mass and thermodynamic string lengths.
ER -