An Exact Single-Rotating Near-Horizon Geometry in Einstein-Gauss-Bonnet Gravity
Abstract
We construct a five-dimensional singly rotating near-horizon solution in Einstein-Gauss-Bonnet gravity. We show that the Gauss-Bonnet term removes the local curvature singularity, yielding finite curvature invariants throughout the spacetime, provided the rotation parameter remains below a certain value set by the Gauss-Bonnet coupling. To our knowledge, this is the first analytic example of a singly rotating five-dimensional solution in this framework with finite curvature invariants over a nontrivial region of parameter space. We analyze the geometry across this space, identifying regular noncompact, singular, and marginal regimes. Finally, we study the thermodynamic properties, finding that while higher-derivative corrections regularize the local curvature behavior, they also introduce unique challenges to the standard thermodynamic description of Killing horizons.
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BibTeX
@misc{celik2026exact,
title = {{An Exact Single-Rotating Near-Horizon Geometry in Einstein-Gauss-Bonnet Gravity}},
author = {U. Can Çelik and Kamal Hajian and Jutta Kunz},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2605.15005},
eprint = {2605.15005},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2605.15005},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - An Exact Single-Rotating Near-Horizon Geometry in Einstein-Gauss-Bonnet Gravity
AU - U. Can Çelik
AU - Kamal Hajian
AU - Jutta Kunz
PY - 2026
DA - 2026/09/06
PB - arXiv
DO - 10.48550/arxiv.2605.15005
UR - https://arxiv.org/abs/2605.15005
AB - We construct a five-dimensional singly rotating near-horizon solution in Einstein-Gauss-Bonnet gravity. We show that the Gauss-Bonnet term removes the local curvature singularity, yielding finite curvature invariants throughout the spacetime, provided the rotation parameter remains below a certain value set by the Gauss-Bonnet coupling. To our knowledge, this is the first analytic example of a singly rotating five-dimensional solution in this framework with finite curvature invariants over a nontrivial region of parameter space. We analyze the geometry across this space, identifying regular noncompact, singular, and marginal regimes. Finally, we study the thermodynamic properties, finding that while higher-derivative corrections regularize the local curvature behavior, they also introduce unique challenges to the standard thermodynamic description of Killing horizons.
ER -