Non-minimal kinetic coupled gravity: inflation on the Warped DGP brane

TL;DR

This paper explores a non-minimal kinetic coupling in a DGP brane model, analyzing inflationary potentials and comparing their predictions with current observational data to identify the most compatible models.

Contribution

It introduces a non-minimally kinetic coupled DGP brane model and evaluates inflationary potentials against observational data, highlighting the best fits.

Findings

Potentials V(φ)=σφ, σφ², σφ³ fit observational data well.

Certain potentials are favored under specific coupling constants.

The model aligns with Planck and BICEP2 observational constraints.

Abstract

We consider the non-minimally kinetic coupled version of DGP brane model, where the kinetic term of the scalar field is coupled to the metric and Einstein tensor on the brane by a coupling constant $\zeta$. We obtain the corresponding field equations, using the Friedmann-Robertson-Walker metric and the perfect fluid, and study the inflationary scenario to confront the numerical analysis of six typical scalar field potentials with the current observational results. We find that among the suggested potentials and coupling constants, subject to the e-folding $N=60$, the potentials $V(\phi)=\sigma\phi$, $V(\phi)=\sigma\phi^2$ and $V(\phi)=\sigma\phi^3$ provide the best fits with both Planck+WP+highL data and Planck+WP+highL+BICEP2 data.