Second Randall-Sundrum brane world scenario with a nonminimally coupled bulk scalar field

Abstract

In our previous work of Ref. [5] we studied the stability of the RS2-model with a nonminimally coupled bulk scalar field $\varphi$, and we found that in appropriate regions of $\xi$ the standard RS2-vacuum becomes unstable. The question that arises is whether there exist other new static stable solutions where the system can relax. In this work, by solving numerically the Einstein equations with the appropriate boundary conditions on the brane, we find that depending on the value of the nonminimal coupling $\xi$, this model possesses three classes of new static solutions with different characteristics. We also examine what happens when the fine tuning of the RS2-model is violated, and we obtain that these three classes of solutions are preserved in appropriate regions of the parameter space of the problem. The stability properties and possible physical implications of these new solutions are discussed in the main part of this paper. Especially in the case where $\xi ={\xi }_c$ (${\xi }_c$ is the five dimensional conformal coupling) and the fine tuning is violated, we obtain a physically interesting static stable solution.

22 pages, 13 figures

Cited by in corpus (16)

• Braneworld models with a non-minimally coupled phantom bulk field: a simple way to obtain the -1-crossing at late times
• Brane Models with a Ricci-Coupled Scalar Field
• DGP Cosmology with a Non-Minimally Coupled Scalar Field on the Brane
• Graviton localization and Newton's law for brane models with a non-minimally coupled bulk scalar field
• Gauss-Bonnet gravity, brane world models, and non-minimal coupling
• Non-minimal Coupling Branes
• The 4-D Layer Phase as a Gauge Field Localization: Extensive Study of the 5-D Anisotropic U(1) Gauge Model on the Lattice
• Brane Cosmology with a Non-Minimally Coupled Bulk-Scalar Field
• On the stability of thick brane worlds non-minimally coupled to gravity
• Embedding of FRW Cosmology in DGP Scenario with a Non-Minimally Coupled Scalar Field on the Brane
• Establishment of the Coulomb law in the layer phase of a pure U(1) lattice gauge theory
• Bulk photons in Asymmetrically Warped Space-times and Non-trivial Vacuum Refractive Index
• Lorentz violation effects in asymmetric two brane models: a nonperturbative analysis
• Bulk scalar field in brane-worlds with induced gravity inspired by the $\mathcal{L}(R)$ term
• Considering Late-Time Acceleration in some Cosmological Models
• Finite temperature and confinement along the extra dimensions studied on a five-dimensional U(1) lattice gauge model