Confinement and stability of dynamical system in presence of scalar fields and perturbation in the bulk

TL;DR

This paper investigates the dynamics and stability of a scalar field in a five-dimensional warped spacetime, analyzing particle confinement and the effects of perturbations on system stability.

Contribution

It introduces a detailed analysis of scalar field behavior and stability in a 5D warped spacetime with various potentials, including effects of perturbations.

Findings

Scalar field dynamics depend on the potential type.

The system can attain asymptotic stability under certain conditions.

Perturbations influence confinement and stability properties.

Abstract

In this paper we have considered a five-dimensional warped product spacetime with spacelike extra dimension and with a scalar field source in the bulk. We have studied the dynamics of the scalar field under different types of potential in an effort to explain the confinement of particles in the five-dimensional spacetime. The behavior of the system is determined from the nature of damping force on the system. We have also examined the nature of the effective potential under different circumstances. Lastly we have studied the system to determine whether or not the system attains asymptotically stable condition for both unperturbed and perturbed conditions. The analysis throws significant light on the nature confinement of particles and the stability of the dynamical system under these conditions.