Abstract
We consider a five dimensional warped spacetime, in presence of the higher curvature term like F(R) = R + alpha R^2 in the bulk, in the context of the two-brane model. Our universe is identified with the TeV scale brane and emerges as a four dimensional effective theory. From the perspective of this effective theory, we examine the possibility of “inflationary scenario” by considering the on-brane metric ansatz as an FRW one. Our results reveal that the higher curvature term in the five dimensional bulk spacetime generates a potential term for the radion field. Due to the presence of radion potential, the very early universe undergoes a stage of accelerated expansion and, moreover, the accelerating period of the universe terminates in a finite time. We also find the spectral index of curvature perturbation (n_s) and the tensor to scalar ratio (r) in the present context, which match with the observational results based on the observations of Planck (Astron. Astrophys. 594, A20, 2016).
Highlights
Over the last two decades, extra spatial dimensions [2–14] have been increasingly playing a central role in physics beyond the standard model of particle [15] and cosmology [16]
In order to resolve these problems, the idea of inflation was introduced by Guth [28], in which the universe had to go through a stage of accelerated expansion after the big bang
Due to the large curvature (∼ Planck scale) in the bulk, the spacetime is considered to be governed by a higher curvature expression like F(R) = R + α R2
Summary
Over the last two decades, extra spatial dimensions [2–14] have been increasingly playing a central role in physics beyond the standard model of particle [15] and cosmology [16]. We take advantage of the modulus field of extra dimensions and address the early time cosmology of our universe in the backdrop of the RS two-brane model. For RS bulk geometry, where the curvature is of the order of Planck scale, the higher curvature terms should play a crucial role 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[58–60].
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
