Tachyon and Quintessence Brane-World Universe

TL;DR

This paper investigates the role of tachyon and quintessence fields in brane-world cosmology, providing new exact solutions and a generalized algorithm to analyze different cosmic evolution stages.

Contribution

It introduces a novel algorithm for deriving exact solutions involving tachyon and quintessence fields on the brane, covering various energy regimes.

Findings

Tachyon and quintessence fields are driven by inverse power law potentials.

Several simple exact solutions for these fields are obtained.

The study covers low and high energy regimes in brane-world cosmology.

Abstract

Using tachyon or quintessence fields along with a barotropic fluid on the brane we examine the different cosmological stages in a Friedmann-Robertson-Walker(FRW) universe, from the first radiation scenario to the later era dominated by cosmic string networks. We introduce a new algorithm to generalize previous works on exact solutions and apply it to study tachyon and quintessence fields localized on the brane and study the low and high energy regimes. We show that the tachyon and quintessence fields are driven by an inverse power law potential. Finally, we find several simples exacts solutions for tachyon and/or quintessence fields.