Blowup/scattering alternative for a discrete family of static critical solutions with various number of unstable eigenmodes

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dc.creatorDonets, Evgeny E.
dc.creatorHayryan, Edik A.
dc.creatorStreltsova, Oksana I.
dc.date2007-11-26
dc.date.accessioned2026-07-07T08:45:16Z
dc.date.available2026-07-07T08:45:16Z
dc.descriptionDecay of regular static spherically symmetric solutions in the SU(2) Yang-Mills-dilaton (YMd) system of equations under the independent excitation of their unstable eigenmodes has been studied self-consistently in the nonlinear regime. The considered regular YMd solutions form a discrete family and can be parametrised by the number $N=1,2,3,4...$ of their unstable eigenmodes in linear approximation. We have obtained strong numerical evidences in favour of the following statements: i) all static YMd solutions are distinct local threshold configurations, separating blowup and scattering solutions; ii) the main unstable eigenmodes are only those responsible for the blowup/scattering alternative; iii) excitation of higher unstable eigenmodes always leads to finite-time blowup; iv) the decay of the lowest N=1 static YMd solution via excitation of its unique unstable mode is an exceptional case because the resulting waves propagate as a whole without energy dispersion revealing features peculiar to solitons. Applications of the obtained results to Type-I gravitational collapse of massless fields are briefly discussed.
dc.description29 pages, 10 figures
dc.identifierhttps://arxiv.org/abs/0711.3994
dc.identifierhttp://arxiv.org/abs/0711.3994
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/142915
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectHigh Energy Physics - Theory
dc.subjectMathematical Physics
dc.subjectAnalysis of PDEs
dc.titleBlowup/scattering alternative for a discrete family of static critical solutions with various number of unstable eigenmodes
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