Multisoliton solutions for equivariant wave maps on a $2+1$ dimensional wormhole

Autor(en)

Piotr Bizoń, Jacek Jendrej, Maciej Maliborski

Abstrakt

We study equivariant wave maps from the $2+1$ dimensional wormhole to the 2-sphere. This model has explicit harmonic map solutions which, in suitable coordinates, have the form of the sine-Gordon kinks/anti-kinks. We conjecture that there exist asymptotically static chains of $N\geq 2$ alternating kinks and anti-kinks whose subsequent rates of expansion increase in geometric progression as $t\rightarrow \infty$. Our argument employs the method of collective coordinates to derive effective finite-dimensional ODE models for the asymptotic dynamics of $N$-chains. For $N=2,3$ the predictions of these effective models are verified by direct PDE computations which demonstrate that the $N$-chains lie at the threshold of kink-anti-kink annihilation.

Organisation(en)

Gravitationsphysik, Institut für Mathematik

Externe Organisation(en)

Icm & Sorbonne University

Journal

Physical Review D

Band

111

Seiten

024006

Anzahl der Seiten

8

ISSN

2470-0010

DOI

https://doi.org/10.1103/PhysRevD.111.024006

Publikationsdatum

01-2025

Peer-reviewed

Ja

ÖFOS 2012

101002 Analysis, 103019 Mathematische Physik

Schlagwörter

Link zum Portal

https://ucrisportal.univie.ac.at/de/publications/96bf9704-a8b4-42dd-ac3b-a0bc8b0ad608