Non-minimally coupled tachyon field with Noether symmetry under the Palatini approach

TL;DR

This paper investigates a cosmological model with a non-minimally coupled tachyon dark energy field under the Palatini approach, deriving potentials via Noether symmetry and comparing theoretical predictions with observational data.

Contribution

It introduces a novel non-minimal coupling model for tachyon dark energy using the Palatini formalism and derives the potential through Noether symmetry, aligning theoretical results with observations.

Findings

Derived self-interaction potential and coupling functions from Noether symmetry.

Analyzed the evolution of density parameters, deceleration parameter, and Hubble parameter.

Compared model predictions with observational data, showing consistency.

Abstract

A model for a homogeneous, isotropic, flat Universe composed by dark energy and matter is investigated. Dark energy is considered to behave as a tachyon field, which is non-minimally coupled to gravity. The connection is treated as metric independent when varying the action, providing an extra term to the Lagrangian density. The self-interaction potential and coupling are naturally found by imposing a Noether symmetry to the system. We analyze the evolution of the density parameters and we compare the results obtained for the deceleration parameter, luminosity distance and Hubble parameter with those found in literature from observational data.