Radial kinks in a Schwarzschild-like geometry

Abstract

We study the propagation of a domain wall (kink) of the ${\varphi }^4$ 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.

20 pages, 12 figures

References in corpus (4)

• Dynamics of domain wall networks with junctions
• Kink-antikink stripe interactions in the two-dimensional sine-Gordon equation
• Kink-inhomogeneity interaction in the sine-Gordon model
• Interaction of cosmological domain walls with large classical objects, like planets and satellites, and the flyby anomaly

Cited by in corpus (2)

• Radial kinks in the boson stars
• Collective coordinate descriptions of a kink in a driven-damped ${\varphi }^4$ model