Gravity localization on thick branes: a numerical approach

Abstract

We introduce a numerical procedure to investigate the spectrum of massive modes and its contribution for gravity localization on thick branes. After considering a model with an analytically known Schroedinger potential, we present the method and discuss its applicability. With this procedure we can study several models even when the Schroedinger potential is not known analytically. We discuss both the occurrence of localization of gravity and the correction to the Newtonian potential given by the massive modes.

22 pages, 12 figures

References in corpus (4)

• Hamilton-Jacobi method for Domain Walls and Cosmologies
• K fields, compactons, and thick branes
• 6D thick branes from interacting scalar fields
• Exact bound states in volcano potentials

Cited by in corpus (6)

• Fermion localization and resonances on two-field thick branes
• Fermion Localization and Resonances on A de Sitter Thick Brane
• Fermions on Thick Branes in the Background of Sine-Gordon Kinks
• Localization and Mass Spectra of Fermions on Symmetric and Asymmetric Thick Branes
• Bulk Matters on Symmetric and Asymmetric de Sitter Thick Branes
• Mass gap for gravity localized on Weyl thick branes