Scalar normal modes of higher dimensional gravitating kinks

Abstract

The scalar normal modes of higher dimensional gravitating kink solutions are derived. By perturbing to second order the gravity and matter parts of the action in the background of a five-dimensional kink, the effective Lagrangian of the scalar fluctuations is derived and diagonalized in terms of a single degree of freedom which invariant under infinitesimal diffeomorphisms. The spectrum of the normal modes is discussed and applied to the analysis of short distance corrections to Newton law.

20 pages in Latex style

References in corpus (9)

• Large and infinite extra dimensions
• On models of gauge field localization on a brane
• Gauge-invariant fluctuations of scalar branes
• Localization of metric fluctuations on scalar branes
• Thick branes and Gauss-Bonnet self-interactions
• A Formalism to Analyze the Spectrum of Brane World Scenarios
• Extra dimensions as an alternative to Higgs mechanism?
• Zero modes of six-dimensional Abelian vortices
• Vector field localization and negative tension branes

Cited by in corpus (32)

• Scalar kinks and fermion localisation in warped spacetimes
• Pure geometric thick $f(R)$-branes: stability and localization of gravity
• Brane modeling in warped extra-dimension
• Linearization of thick K-branes
• Gravitating multidefects from higher dimensions
• de Sitter branes with a bulk scalar
• Study of field fluctuations and their localization in a thick braneworld generated by gravity non-minimally coupled to a scalar field with the Gauss-Bonnet term
• Bulk gauge and matter fields in nested warping: II. Symmetry Breaking and phenomenological consequences
• Non-perturbative procedure for stable $K$-brane
• Graviton modes in multiply warped geometry
• Kink-antikink, trapping bags and five-dimensional Gauss-Bonnet gravity
• Gravitational resonances on $f(R)$-brane
• On the stability of thick brane worlds non-minimally coupled to gravity
• The fate of the zero mode of the five-dimensional kink in the presence of gravity
• Non-topological gravitating defects in five-dimensional anti-de Sitter space
• Thick brane in reduced Horndeski theory
• Configurational entropy and instability of tachyonic braneworld
• Revisit on two-dimensional self-gravitating kinks: superpotential formalism and linear stability
• Smooth braneworld in $6$-dimensional asymptotically AdS spacetime
• Linear Stability of $f(R,\varphi ,X)$ Thick Branes: Tensor Perturbations
• Hybrid metric-Palatini brane system
• Scalar perturbation of gravitating double-kink solutions
• Normal modes for two-dimensional gravitating kinks
• Geometry of deformations of branes in warped backgrounds
• Scalar Kaluza-Klein modes in a multiply warped braneworld
• Kink solutions in generalized 2D dilaton gravity
• Stability of a tachyon braneworld
• Matter-gravity interaction in a multiply warped braneworld,
• Time-dependent gravitating solitons in five dimensional warped space-times
• Matching the linear spectra of twinlike defects
• Spinor Walls in Five-Dimensional Warped Spacetime
• Pure geometric $f(R)$ branes