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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2501.12790 |
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| _version_ | 1866917553821974528 |
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| author | Acevedo, Ignacio Muñoz, Claudio |
| author_facet | Acevedo, Ignacio Muñoz, Claudio |
| contents | Considered in this work is the Yang-Mills field in an extremal Reissner-Nordström black hole, a physically motivated mathematical model introduced by Bizoń and Kahl. The kink is a fundamental, strongly unstable stationary solution in this non-perturbative, variable coefficients model, with a polynomial tail and no explicit form. In this paper, we introduce and extend several virial techniques, adapt them to the inhomogeneous medium setting, and construct a finite codimensional manifold of the energy space where the kink is asymptotically stable. In particular, we handle, using virial techniques, the emergence of a weak threshold resonance in the description of the stable manifold. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_12790 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Kink dynamics for the Yang-Mills field in an extremal Reissner-Nordström black hole Acevedo, Ignacio Muñoz, Claudio Analysis of PDEs Mathematical Physics 35L70, 35B40, 37K40 (Primary) 70S15, 83C57 (Secondary) Considered in this work is the Yang-Mills field in an extremal Reissner-Nordström black hole, a physically motivated mathematical model introduced by Bizoń and Kahl. The kink is a fundamental, strongly unstable stationary solution in this non-perturbative, variable coefficients model, with a polynomial tail and no explicit form. In this paper, we introduce and extend several virial techniques, adapt them to the inhomogeneous medium setting, and construct a finite codimensional manifold of the energy space where the kink is asymptotically stable. In particular, we handle, using virial techniques, the emergence of a weak threshold resonance in the description of the stable manifold. |
| title | Kink dynamics for the Yang-Mills field in an extremal Reissner-Nordström black hole |
| topic | Analysis of PDEs Mathematical Physics 35L70, 35B40, 37K40 (Primary) 70S15, 83C57 (Secondary) |
| url | https://arxiv.org/abs/2501.12790 |