Radion stabilization in higher curvature warped spacetime

Abstract

We consider a five dimensional AdS spacetime in presence of higher curvature term like F(R) = R + α R 2 in the bulk. In this model, we examine the possibility of modulus stabilization from the scalar degrees of freedom of higher curvature gravity free of ghosts. Our result reveals that the model stabilizes itself and the mechanism of modulus stabilization can be argued from a geometric point of view. We determine the region of the parametric space for which the modulus (or radion) can to be stabilized. We also show how the mass and coupling parameters of radion field are modified due to higher curvature term leading to modifications of its phenomenological implications on the visible 3-brane.

Fermion localization in higher curvature and scalar–tensor theories of gravity

“…Thus α > 0 indicates more localization in comparison to the RS situation. It may be mentioned that the condition α > 0 is in agreement with various astrophysical constraints for F(R) = R +α R 2 as well as with the braneworld stability requirement (see [27]). …”

“…Subsequently different variants of the warped geometry model and the issue of modulus (also known as radion) stabilization were extensively studied in [21][22][23][24][25][26][27][28][29][30][31]. A generic feature of many of these models is that the bulk spacetime is endowed with high curvature scale ∼ four dimensional Planck scale.…”

Inflationary scenario from higher curvature warped spacetime

“…Some variants of the RS model and its modulus stabilization have been discussed in [19][20][21][22][23][24][25].…”

“…Motivated by this idea, we consider a generalized version of RS model by replacing the Einstein-Hilbert bulk gravity Lagrangian, given by the Ricci scalar R by F(R) where F(R) is an analytic function of R [58][59][60]. Recently it has been shown [23] that, for an RS braneworld modified by F(R) gravity, a potential term for the radion field is generated (in the four dimensional effective theory) even without introducing an external scalar field in the bulk and, moreover, the radion potential has a stable minimum for a certain range of parametric space. However, from the cosmological aspect, the important questions that remain in the said higher curvature RS model [23], are:…”

Bouncing cosmology from warped extra dimensional scenario

“…Subsequently, Goldberger and Wise (GW) proposed a modulus stabilzation mechanism [19] by introducing a massive scalar field in the bulk with appropriate boundary conditions. Different variants of the RS model and its modulus stabilization are extensively studied in [21][22][23][24][25][26][27][28]. In this paper we will consider a specific variant of RS scenario and study the cosmological dynamics from the perspective of low energy effective field theory induced on the visible brane.…”