Noether Symmetry Approach for Dirac-Born-Infeld Cosmology

TL;DR

This paper applies the Noether Symmetry Approach to a cosmological model involving a tachyon scalar field with a Dirac-Born-Infeld Lagrangian and an interacting scalar field, deriving exact solutions that exhibit accelerated cosmic expansion.

Contribution

It introduces a novel application of the Noether Symmetry Approach to a tachyonic Dirac-Born-Infeld cosmology with coupled scalar fields, providing exact solutions.

Findings

Derived exact solutions consistent with accelerated expansion

Identified symmetries leading to conserved quantities

Enhanced understanding of tachyonic cosmological models

Abstract

We consider the Noether Symmetry Approach for a cosmological model derived from a tachyon scalar field $T$ with a Dirac-Born-Infeld Lagrangian and a potential $V(T)$. Furthermore, we assume a coupled canonical scalar field $\phi$ with an arbitrary interaction potential $B(T,\phi)$. Exact solutions are derived consistent with the accelerated behavior of cosmic fluid.