First-order formalism for the quintom model of dark energy
M. R. Setare, and J. Sadeghi

TL;DR
This paper introduces a first-order formalism for the quintom dark energy model, linking the scalar field potential to the Hubble parameter and providing a method to solve the equations of motion.
Contribution
It presents a novel first-order formalism for the quintom model, simplifying the relation between potential and Hubble parameter and offering a general solution procedure.
Findings
Established a first-order relation between potential and Hubble parameter.
Provided a general method to solve equations of motion for quintom models.
Enhanced analytical tools for studying dark energy dynamics.
Abstract
The present paper deals to the quintom model of dark energy. We introduce a first-order formalism, which shows how to relate the potential that specifies the scalar field model to Hubble parameter. Reviewing briefly the quintom scenario of dark energy, we present a general procedure to solve the equations of motion for quintom model driven by a couple scalar fields with first-order differential equations.
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