Observational constraints on a cosmological model with Lagrange multipliers

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.

14 pages, 7 figures. Accepted for publication in PLB

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• Connecting The Non-Singular Origin of the Universe, The Vacuum Structure and The Cosmological Constant Problem
• New integrable models and analytical solutions in $f(R)$~cosmology with an ideal gas
• Intermediate accelerated solutions as generic late-time attractors in a modified Jordan-Brans-Dicke theory
• Higher-Order Gauss-Bonnet Cosmology
• Consistency between black hole and mimetic gravity -- Case of $(2+1)$-dimensional gravity
• Black holes with Lagrange multiplier and potential in mimetic-like gravitational theory: multi-horizon black holes
• Accelerating and decelerating cosmology from spinor and scalar fields non-minimally coupled with f(R) gravity