Multisoliton solutions for equivariant wave maps on a $2+1$ dimensional wormhole
- Author(s)
- Piotr Bizoń, Jacek Jendrej, Maciej Maliborski
- Abstract
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(s)
- Gravitational Physics, Department of Mathematics
- External organisation(s)
- Sorbonne Université
- Journal
- Physical Review D
- Volume
- 111
- Pages
- 024006
- No. of pages
- 8
- ISSN
- 2470-0010
- DOI
- https://doi.org/10.1103/PhysRevD.111.024006
- Publication date
- 01-2025
- Peer reviewed
- Yes
- Austrian Fields of Science 2012
- 101002 Analysis, 103019 Mathematical physics
- Keywords
- Portal url
- https://ucrisportal.univie.ac.at/en/publications/96bf9704-a8b4-42dd-ac3b-a0bc8b0ad608