On the existence of self-similar spherically symmetric wave maps coupled to gravity
dc.contributor.author | Bizoń, Piotr | en_US |
dc.contributor.author | Wasserman, Arthur G. | en_US |
dc.date.accessioned | 2006-12-19T19:23:11Z | |
dc.date.available | 2006-12-19T19:23:11Z | |
dc.date.issued | 2002-06-21 | en_US |
dc.identifier.citation | Bizoń, Piotr; Wasserman, Arthur (2002). "On the existence of self-similar spherically symmetric wave maps coupled to gravity." Classical and Quantum Gravity. 19(12): 3309-3321. <http://hdl.handle.net/2027.42/49206> | en_US |
dc.identifier.issn | 0264-9381 | en_US |
dc.identifier.uri | https://hdl.handle.net/2027.42/49206 | |
dc.description.abstract | We present a detailed analytical study of spherically symmetric self-similar solutions in the SU(2) sigma model coupled to gravity. Using a shooting argument, we prove that there is a countable family of solutions which are analytic inside the past self-similarity horizon. In addition, we show that for sufficiently small values of the coupling constant these solutions possess a regular future self-similarity horizon and thus are examples of naked singularities. One of the solutions constructed here has been recently found as the critical solution at the threshold of black-hole formation. | en_US |
dc.format.extent | 3118 bytes | |
dc.format.extent | 179588 bytes | |
dc.format.mimetype | text/plain | |
dc.format.mimetype | application/pdf | |
dc.language.iso | en_US | |
dc.publisher | IOP Publishing Ltd | en_US |
dc.title | On the existence of self-similar spherically symmetric wave maps coupled to gravity | en_US |
dc.type | Article | en_US |
dc.subject.hlbsecondlevel | Physics | en_US |
dc.subject.hlbtoplevel | Science | en_US |
dc.description.peerreviewed | Peer Reviewed | en_US |
dc.contributor.affiliationum | Department of Mathematics, University of Michigan, Ann Arbor, MI, USA | en_US |
dc.contributor.affiliationother | Institute of Physics, Jagellonian University, Kraków, Poland | en_US |
dc.contributor.affiliationumcampus | Ann Arbor | en_US |
dc.description.bitstreamurl | http://deepblue.lib.umich.edu/bitstream/2027.42/49206/2/q21213.pdf | en_US |
dc.identifier.doi | http://dx.doi.org/10.1088/0264-9381/19/12/313 | en_US |
dc.identifier.source | Classical and Quantum Gravity. | en_US |
dc.owningcollname | Interdisciplinary and Peer-Reviewed |
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