Dunajski M. Solitons on Wormholes (abstract): Difference between revisions
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| title = Solitons on Wormholes | | 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. | | 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. | ||
| slides = | | slides = [[Media:DunajskiTrieste2018slides.pdf|DunajskiTrieste2018slides.pdf]] | ||
| references = | | references = | ||
| event = [[Local and Nonlocal Geometry of PDEs and Integrability]], 8-12 October 2018, SISSA, Trieste, Italy.<br>''The conference in honor of [[Joseph Krasil'shchik]]'s 70th birthday.'' | | event = [[Local and Nonlocal Geometry of PDEs and Integrability]], 8-12 October 2018, SISSA, Trieste, Italy.<br>''The conference in honor of [[Joseph Krasil'shchik]]'s 70th birthday.'' | ||
| 79YY-MM-DD = 7981-89-90 | | 79YY-MM-DD = 7981-89-90 | ||
}} | }} | ||
Latest revision as of 09:04, 31 October 2018
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.
Slides: DunajskiTrieste2018slides.pdf
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.