Geometrically Regular Black Holes with Hedgehog Scalar Hair
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arXiv
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| Format: | Preprint |
| Publié: |
2026
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| _version_ | 1866915941929975808 |
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| author | Bahamonde, Sebastian |
| author_facet | Bahamonde, Sebastian |
| contents | We study a simple theory based on general relativity, minimally coupled to a constrained scalar triplet and to an auxiliary non-propagating three-form sector. Within a spherically symmetric hedgehog ansatz, the theory admits a continuous exact family of asymptotically flat geometrically regular black holes. For a simple choice of kinetic function, the solutions possess a de Sitter core and approach Schwarzschild with the first correction appearing only at order $r^{-4}$. We analyse their horizon structure, thermodynamics, and main strong-field properties. The black holes carry topological scalar hair and a continuous secondary parameter, but no scalar charge. The regularity established here is geometric: the curvature invariants remain finite, although the matter sector is not completely smooth at the centre. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_15758 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Geometrically Regular Black Holes with Hedgehog Scalar Hair Bahamonde, Sebastian General Relativity and Quantum Cosmology High Energy Astrophysical Phenomena High Energy Physics - Theory We study a simple theory based on general relativity, minimally coupled to a constrained scalar triplet and to an auxiliary non-propagating three-form sector. Within a spherically symmetric hedgehog ansatz, the theory admits a continuous exact family of asymptotically flat geometrically regular black holes. For a simple choice of kinetic function, the solutions possess a de Sitter core and approach Schwarzschild with the first correction appearing only at order $r^{-4}$. We analyse their horizon structure, thermodynamics, and main strong-field properties. The black holes carry topological scalar hair and a continuous secondary parameter, but no scalar charge. The regularity established here is geometric: the curvature invariants remain finite, although the matter sector is not completely smooth at the centre. |
| title | Geometrically Regular Black Holes with Hedgehog Scalar Hair |
| topic | General Relativity and Quantum Cosmology High Energy Astrophysical Phenomena High Energy Physics - Theory |
| url | https://arxiv.org/abs/2604.15758 |