Radial kinks in a Schwartzschild-like geometry

We study the propagation of a domain wall (kink) of the \(\phi^4\) model in a radially symmetric environment defined by a gravity source. This source deforms the standard Euclidian metric into a Schwartzschild-like one. We introduce an effective model that accurately describes the dynamics of the ki...

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Bibliographic Details
Published inarXiv.org
Main Authors Caputo, Jean-Guy, Dobrowolski, Tomasz, Gatlik, Jacek, Kevrekidis, Panayotis G
Format Paper
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 30.09.2024
Subjects
Deformation effects
Domain walls
Phenomenology
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Summary:We study the propagation of a domain wall (kink) of the \(\phi^4\) model in a radially symmetric environment defined by a gravity source. This source deforms the standard Euclidian metric into a Schwartzschild-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.
ISSN:2331-8422