Kink Stability of Self-Similar Solutions of Scalar Field in 2+1 Gravity

dc.creatorWang, Anzhong
dc.creatorWu, Yumei
dc.date2005-06-01
dc.date.accessioned2026-07-07T10:28:10Z
dc.date.available2026-07-07T10:28:10Z
dc.descriptionThe kink stability of self-similar solutions of a massless scalar field with circular symmetry in 2+1 gravity is studied, and found that such solutions are unstable against the kink perturbations along the sonic line (self-similar horizon). However, when perturbations outside the sonic line are considered, and taking the ones along the sonic line as their boundary conditions, we find that non-trivial perturbations do not exist. In other words, the consideration of perturbations outside the sonic line limits the unstable mode of the perturbations found along the sonic line. As a result, the critical solution for the scalar collapse remains critical even after the kink perturbations are taken into account.
dc.descriptionlatex, one figure
dc.identifierhttps://arxiv.org/abs/gr-qc/0506010
dc.identifierhttp://arxiv.org/abs/gr-qc/0506010
dc.identifierGen.Rel.Grav.39:663-676,2007; Gen.Rel.Grav.39:677-684,2007
dc.identifierdoi:10.1007/s10714-007-0413-7
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/177355
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleKink Stability of Self-Similar Solutions of Scalar Field in 2+1 Gravity
dc.typetext

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