Bridging geometries and potentials in DBI cosmologies

TL;DR

This paper explores the relationship between warp functions and potentials in DBI cosmologies, providing methods to generate solutions and analyze power-law behaviors.

Contribution

It introduces a prescription linking warp factors and potentials in DBI models and offers a symmetry-based method to generate new solutions from existing ones.

Findings

A method to relate warp functions and potentials for power-law solutions.

Examples illustrating models with specific warp factors or potentials.

A recipe to generate new solutions using symmetries.

Abstract

We investigate the link between the warp function and the potential in DBI cosmologies in connection with the possibility they represent power-law solutions. A prescription is given to take advantage of the known result that given a warp factor there is always a choice of potential resulting in a constant ratio between pressure and energy density. The method is illustrated with examples with interesting models for either the warp factor or the potential. We complete this investigation by giving a recipe to exploit symmetries in order to generate new solutions from existing ones; this method can be applied, for instance, to the power-law cosmologies obtained using our prescription.