Analytical studies on 3D hairy rotating black hole interiors

A bstract We present an analytical study of the interior structure of hairy rotating black holes in three-dimensional Einstein gravity, minimally coupled to a complex scalar field with a super-exponential potential. The interior dynamics of these black holes are characterized by an infinite sequence of Kasner epochs, separated by inversion and transitions, each of which admits an analytical description. We derive an explicit analytical expression for this infinite sequence of epochs. At late interior times, the geometry evolves into a curvature singularity, despite the local resemblance of each Kasner epoch to a regular Milne universe on a circle. These results reveal an interior structure richer and more complex than that of its 4D static black hole counterparts.

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Publication Details

Journal
Journal of High Energy Physics
Published
2026-04-14
DOI
https://doi.org/10.1007/jhep04(2026)095
Primary Topic
Black Holes and Theoretical Physics
Type
article
Field-Weighted Citation Impact
0.00

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article

Analytical studies on 3D hairy rotating black hole interiors

Ling-Long Gao
Journal of High Energy Physics
Black Holes and Theoretical Physics
article

Analytical studies on 3D hairy rotating black hole interiors

Ling-Long Gao
article en

Abstract

A bstract We present an analytical study of the interior structure of hairy rotating black holes in three-dimensional Einstein gravity, minimally coupled to a complex scalar field with a super-exponential potential. The interior dynamics of these black holes are characterized by an infinite sequence of Kasner epochs, separated by inversion and transitions, each of which admits an analytical description. We derive an explicit analytical expression for this infinite sequence of epochs. At late interior times, the geometry evolves into a curvature singularity, despite the local resemblance of each Kasner epoch to a regular Milne universe on a circle. These results reveal an interior structure richer and more complex than that of its 4D static black hole counterparts.

Journal of High Energy PhysicsVol. 2026(4)
Beihang University (CN)
National Natural Science Foundation of China
Openalex Percentile: Top 97%
Black Holes and Theoretical Physics
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