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dc.contributor.authorBizoń, Piotren_US
dc.contributor.authorWasserman, Arthur G.en_US
dc.date.accessioned2006-12-19T19:23:11Z
dc.date.available2006-12-19T19:23:11Z
dc.date.issued2002-06-21en_US
dc.identifier.citationBizoń, 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.issn0264-9381en_US
dc.identifier.urihttps://hdl.handle.net/2027.42/49206
dc.description.abstractWe 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.extent3118 bytes
dc.format.extent179588 bytes
dc.format.mimetypetext/plain
dc.format.mimetypeapplication/pdf
dc.language.isoen_US
dc.publisherIOP Publishing Ltden_US
dc.titleOn the existence of self-similar spherically symmetric wave maps coupled to gravityen_US
dc.typeArticleen_US
dc.subject.hlbsecondlevelPhysicsen_US
dc.subject.hlbtoplevelScienceen_US
dc.description.peerreviewedPeer Revieweden_US
dc.contributor.affiliationumDepartment of Mathematics, University of Michigan, Ann Arbor, MI, USAen_US
dc.contributor.affiliationotherInstitute of Physics, Jagellonian University, Kraków, Polanden_US
dc.contributor.affiliationumcampusAnn Arboren_US
dc.description.bitstreamurlhttp://deepblue.lib.umich.edu/bitstream/2027.42/49206/2/q21213.pdfen_US
dc.identifier.doihttp://dx.doi.org/10.1088/0264-9381/19/12/313en_US
dc.identifier.sourceClassical and Quantum Gravity.en_US
dc.owningcollnameInterdisciplinary and Peer-Reviewed


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