2012/12/31 by Yuan Zhong, Yu-Xiao Liu · 2 citations
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Black Holes and Theoretical Physics #Brane cosmology #Cosmology and Gravitation Theories #Domain (mathematical analysis) #Geometry #Linearization #Mathematical analysis #Mathematical physics #Mathematics #Nonlinear system #Physics #Quadratic equation #Quantum mechanics #Scalar (mathematics) #Scalar field #gr-qc #hep-th
paper · pdf · doi:10.1103/physrevd.88.024017
published as Phys. Rev. D 88, 024017 (2013) · 7 pages, no figures, published version
openalex publication_date 2013/07/10 · arxiv created 2013/08/13 · arxiv updated 2013/08/14 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We study the linearization of a class of thick K-branes, namely, four-dimensional domain walls generated by a scalar field with particular nonstandard kinetic terms. The master equations for linear perturbations are derived from the point of view of both dynamical equations and quadratic action. The spectra of the canonical normal modes are studied using supersymmetric quantum mechanics. Our results indicate that the scalar perturbation is nonlocalizable in general. Conditions for stable K-branes are also found.