# The presence of a Phantom field in a Randall-Sundrum scenario

## TL;DR

This paper investigates how phantom dark energy influences brane world cosmology in a Randall-Sundrum model, revealing potential for a Big Rip singularity and exploring ways to avoid it through scalar field potentials.

## Contribution

It introduces a detailed dynamical analysis of phantom fields in Randall-Sundrum scenarios, highlighting effects on cosmic evolution and singularity formation.

## Key findings

- Phantom energy can cause a premature Big Rip in brane cosmology.
- Scalar field potentials with maxima may prevent Big Rip singularities.
- The dynamical system analysis provides insights into cosmic acceleration and singularity avoidance.

## Abstract

The presence of phantom dark energy in brane world cosmology generates important new effects, causing a premature Big Rip singularity when we increase the presence of extra dimension and considerably competing with the other components of our Universe. The idea is based first, in only considering a field with the characteristic equation $\omega<-1$ and after that, consider the explicit form of the scalar field with a potential with a maximum (with the aim of avoid a Big Rip singularity). In both cases we study the dynamic in a robust form through the dynamical analysis theory, detailing in parameters like the deceleration $q$ and the vector field associated to the dynamical system. Results are discussed with the purpose of deeming the cosmology with a phantom field as dark energy in a Randall-Sundrum scenario.