Exact Solutions in 5-D Brane Models With Scalar Fields

Abstract

In this talk we consider the problem of a scalar field, non-minimally coupled to gravity, in the presence of a Brane. A number of exact solutions, for a wide range of values of the coupling parameter, are presented. The behavior and general features of these solutions are discussed. We derive solutions for the scalar field compatible with the Randall-Sundrum metric and also geometries which can accomodate a folded kink-like scalar. Analytic and numerical results are provided for the case of a Brane or for smooth geometries, where the scalar field acts as a thick Brane. We also discuss briefly the graviton localization in our setup and demonstrate the characteristic volcano-like localizing potential for gravitons.

8 pages, 6 figures, talk given in Nafplio NEB XII 2006

References in corpus (21)

• Gauge Theory Correlators from Non-Critical String Theory
• A Large Mass Hierarchy from a Small Extra Dimension
• An Alternative to Compactification
• The Hierarchy Problem and New Dimensions at a Millimeter
• New Dimensions at a Millimeter to a Fermi and Superstrings at a TeV
• Dirichlet-Branes and Ramond-Ramond Charges
• Phenomenology, Astrophysics and Cosmology of Theories with Sub-Millimeter Dimensions and TeV Scale Quantum Gravity
• Heterotic and Type I String Dynamics from Eleven Dimensions
• Modeling the fifth dimension with scalars and gravity
• Localized Gravitons, Gauge Bosons and Chiral Fermions in Smooth Spaces Generated by a Bounce
• Millimetre-Range Forces in Superstring Theories with Weak-Scale Compactification
• Domain Walls in Strongly Coupled Theories
• Four Dimensionality in Non-compact Kaluza-Klein Model
• Localization of 4D gravity on pure geometrical Thick branes
• 4D gravity localized in non Z_2-symmetric thick branes
• Equation of State of Oscillating Brans-Dicke Scalar and Extra Dimensions
• Brane Models with a Ricci-Coupled Scalar Field
• A Self-Tuning Solution of the Cosmological Constant Problem
• Gravity-induced instability and gauge field localization
• Brans-Dicke brane cosmology
• Bulk Higgs with 4D Gauge Interactions

Cited by in corpus (8)

• Braneworld models with a non-minimally coupled phantom bulk field: a simple way to obtain the -1-crossing at late times
• Mass gap for gravity localized on Weyl thick branes
• Aspects of thick brane worlds: 4D gravity localization, smoothness, and mass gap
• Gauss-Bonnet gravity, brane world models, and non-minimal coupling
• Braneworld in $f(T)$ Gravity Theory with Noncanonical Scalar Matter Field
• Mass hierarchy, mass gap and corrections to Newton's law on thick branes with Poincare symmetry
• Configurational Entropy and braneworlds in f(T,B) gravity
• Localizing gravity on thick branes: a solution for massive KK modes of the Schroedinger equation