Dunajski M. Solitons on Wormholes (abstract)

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Speaker: Maciej Dunajski

Title: Solitons on Wormholes

Abstract:
The sine-Gordon equation in 1+1 dimensions admits a static kink solution with with topological charge 1. The kinks do not exist (for neither SG nor any other scalar field theory) in flat d+1 dimensions, where d>1. I shall prove the existence of static kinks on 3+1 dimensional curved wormhole space-time with two asymptotically flat regions, and discuss linear and non-linear stability of the kinks.


Event: Local and Nonlocal Geometry of PDEs and Integrability, 8-12 October 2018, SISSA, Trieste, Italy.
The conference in honor of Joseph Krasil'shchik's 70th birthday.