Radial kinks in a Schwarzschild-like geometry
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866910823675330560 |
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| author | Caputo, Jean-Guy Dobrowolski, Tomasz Gatlik, Jacek Kevrekidis, Panayotis G. |
| author_facet | Caputo, Jean-Guy Dobrowolski, Tomasz Gatlik, Jacek Kevrekidis, Panayotis G. |
| contents | We study the propagation of a domain wall (kink) of the $ϕ^4$ model in a radially symmetric environment defined by a gravity source. This source deforms the standard Euclidian metric into a Schwarzschild-like one. We introduce an effective model that accurately describes the dynamics of the kink center. This description works well even outside the perturbation region, i.e., even for large masses of the gravitating object. We observed that such a spherical domain wall surrounding a star-type object inevitably "collapses", i.e., shrinks in radius towards the origin and offer an understanding of the latter phenomenology. The relevant analysis is presented for a circular domain wall and a spherical one. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_20040 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Radial kinks in a Schwarzschild-like geometry Caputo, Jean-Guy Dobrowolski, Tomasz Gatlik, Jacek Kevrekidis, Panayotis G. Pattern Formation and Solitons General Relativity and Quantum Cosmology We study the propagation of a domain wall (kink) of the $ϕ^4$ model in a radially symmetric environment defined by a gravity source. This source deforms the standard Euclidian metric into a Schwarzschild-like one. We introduce an effective model that accurately describes the dynamics of the kink center. This description works well even outside the perturbation region, i.e., even for large masses of the gravitating object. We observed that such a spherical domain wall surrounding a star-type object inevitably "collapses", i.e., shrinks in radius towards the origin and offer an understanding of the latter phenomenology. The relevant analysis is presented for a circular domain wall and a spherical one. |
| title | Radial kinks in a Schwarzschild-like geometry |
| topic | Pattern Formation and Solitons General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2409.20040 |