Stability analysis of the cosmological solutions with induced gravity and scalar field on the brane

TL;DR

This paper analyzes the stability and late-time behavior of cosmological solutions involving scalar fields on a DGP brane, considering both minimal and nonminimal couplings, to understand their viability in explaining cosmic acceleration.

Contribution

It provides a detailed phase space analysis of scalar fields with minimal and nonminimal coupling on the brane, highlighting stability and cosmological implications.

Findings

Identification of stable critical points for scalar fields on the brane.

Demonstration of late-time acceleration solutions.

Comparison of minimal and nonminimal coupling effects on stability.

Abstract

We study cosmological dynamics and phase space of a scalar field localized on the DGP brane. We consider both the minimally and nonminimally coupled scalar quintessence and phantom fields on the brane. In the nonminimal case, the scalar field couples with induced gravity on the brane. We present a detailed analysis of the critical points, their stability and late-time cosmological viability of the solutions in the phase space of the model.