Constant-roll Inflation in Brane Induced Gravity Cosmology

TL;DR

This paper investigates a constant-roll inflation model within DGP brane-world cosmology driven by a quintessence scalar field, providing analytical solutions and comparing predictions with observational data.

Contribution

It introduces an analytical solution for the inflationary dynamics in brane-world cosmology with constant-roll conditions, and assesses its observational viability.

Findings

Scalar spectral index aligns with observations.

Tensor-to-scalar ratio is consistent with data.

Model parameters can produce realistic inflationary predictions.

Abstract

In this article we study a constant-roll inflationary model in the context of the DGP brane-world cosmology caused by a quintessence scalar field. We determine an analytical solution for the Friedman equation coupled to the equation of motion of the scaler field. The evolution of the primordial scalar and tensor perturbations is also studied. To check the viability of the model we use numerical approaches and plot some figures. Our results for the scalar spectral index and the tensor to scaler ratio show good consistency with observations for given values of model parameters.