Observational constraints on a cosmological model with Lagrange multipliers

TL;DR

This paper investigates cosmological models with Lagrange multipliers, extending previous models by including spatial curvature and complex potentials, and constrains them using observational data.

Contribution

It introduces extended Lagrange multiplier models with curvature and general potentials, analyzing their dynamics and observational viability.

Findings

The models can produce a wide range of dark energy behaviors.

Observational data constrains model parameters effectively.

The evolution of the equation of state is consistent with current observations.

Abstract

Cosmological models with Lagrange multipliers are appealing because they could explain the behaviour of the dark sector in a unified way. In this work we analyse extensions to the "Dust of Dark Energy model" proposed in arXiv:1003.5751 by including spatial curvature and more general potentials of the scalar field. We perform dynamical system analysis and we determine the evolution of the equation of state parameter as a function of the scale factor. We present observational constraints on this model by using Union2.1 dataset and H(z) data.