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  Wave maps on a wormhole

Bizon, P., & Kahl, M. (2015). Wave maps on a wormhole. Physical Review D, 91: 065003. doi:10.1103/PhysRevD.91.065003.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0026-BA68-2 Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0026-BA69-F
Genre: Journal Article

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1412.5371.pdf (Preprint), 577KB
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 Creators:
Bizon, Piotr1, Author
Kahl, Michał, Author
Affiliations:
1AEI-Golm, MPI for Gravitational Physics, Max Planck Society, Golm, DE, escidoc:24008              

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Free keywords: General Relativity and Quantum Cosmology, gr-qc
 Abstract: We consider equivariant wave maps from a wormhole spacetime into the three-sphere. This toy-model is designed for gaining insight into the dissipation-by-dispersion phenomena, in particular the soliton resolution conjecture. We first prove that for each topological degree of the map there exists a unique static solution (harmonic map) which is linearly stable. Then, using the hyperboloidal formulation of the initial value problem, we give numerical evidence that every solution starting from smooth initial data of any topological degree evolves asymptotically to the harmonic map of the same degree. The late-time asymptotics of this relaxation process is described in detail.

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 Dates: 2014-12-172015
 Publication Status: Published in print
 Pages: 8 pages, 8 figures
 Publishing info: -
 Table of Contents: -
 Rev. Method: -
 Identifiers: arXiv: 1412.5371
DOI: 10.1103/PhysRevD.91.065003
 Degree: -

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Title: Physical Review D
  Other : Phys. Rev. D.
Source Genre: Journal
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Publ. Info: Lancaster, Pa. : American Physical Society
Pages: - Volume / Issue: 91 Sequence Number: 065003 Start / End Page: - Identifier: ISSN: 0556-2821
CoNE: http://pubman.mpdl.mpg.de/cone/journals/resource/111088197762258