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arXiv · 2605.15005

An Exact Single-Rotating Near-Horizon Geometry in Einstein-Gauss-Bonnet Gravity

U. Can Çelik·Kamal Hajian·Jutta Kunz
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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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U. Can Çelik, Kamal Hajian, Jutta Kunz. 2026-05-14. An Exact Single-Rotating Near-Horizon Geometry in Einstein-Gauss-Bonnet Gravity. https://arxiv.org/abs/2605.15005

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