Dark energy models from a parametrization of $H$: A comprehensive analysis and observational constraints

Abstract

The presented paper is a comprehensive analysis of two dark energy (DE) cosmological models wherein exact solutions of the Einstein field equations (EFEs) are obtained in a model-independent way (or by cosmological parametrization). A simple parametrization of the Hubble parameter ($H$) is considered for the purpose in the flat Friedmann-Lemaitre-Robertson-Walker (FLRW) background. The parametrization of $H$ covers some known models for some specific values of the model parameters involved. Two models are of special interest which show the behavior of cosmological phase transition from the deceleration in the past to acceleration at late-times. The model parameters are constrained with $57$ points of Hubble datasets together with the $580$ points of Union $2.1$ compilation supernovae datasets and baryonic acoustic oscillation (BAO) datasets. With the constrained values of the model parameters, both the models are analyzed and compared with the standard $\Lambda$CDM model and showing nice fit to the datasets. Two different candidates of DE is considered, cosmological constant and a general scalar field $\varphi$ and their dynamics are discussed on the geometrical base built. The geometrical and physical interpretations of the two models in consideration are discussed in details and the evolution of various cosmological parameters are shown graphically. The age of the Universe in both models are also calculated. Various cosmological parametrization schemes used in the past few decades to find exact solutions of the EFEs are also summarized at the end which can serve as a unified reference for the readers.

28 pages and 22 figures

References in corpus (28)

• Dynamics of dark energy
• Dark energy cosmology: the equivalent description via different theoretical models and cosmography tests
• Raising the bar: new constraints on the Hubble parameter with cosmic chronometers at z$\sim$2
• Observational Constraints on the Nature of the Dark Energy: First Cosmological Results from the ESSENCE Supernova Survey
• Baryon Acoustic Oscillations in the Lyα forest of BOSS DR11 quasars
• Improved Distances to Type Ia Supernovae with Multicolor Light Curve Shapes: MLCS2k2
• Two new diagnostics of dark energy
• Baryon Acoustic Oscillations in the Ly-α forest of BOSS quasars
• WMAP constraints on low redshift evolution of dark energy
• Theoretical Models of Dark Energy
• Bouncing cosmology in modified Gauss-Bonnet gravity
• A litmus test for Lambda
• Dynamics of Logamediate Inflation
• Three thermodynamically-based parametrizations of the deceleration parameter
• $Om$ diagnostic applied to scalar field models and slowing down of cosmic acceleration
• Reconstruction of Deceleration Parameters from Recent Cosmic Observations
• Cosmic Acceleration, Dark Energy and Fundamental Physics
• Variable Modified Chaplygin Gas and Accelerating Universe
• Constraints on reconstructed dark energy model from SN Ia and BAO/CMB observations
• Comprehensive Analysis of a Non-Singular Bounce in $f(R,T)$ Gravitation
• A New Equation of State for Dark Energy Model
• Oscillations in the dark energy EoS: new MCMC lessons
• Magnetized strange quark matter in $f(R,T)$ gravity with bilinear and special form of time varying deceleration parameter
• Model independent constraints on the cosmological expansion rate
• Revisiting the parametrization of Equation of State of Dark Energy via SNIa Data
• Reconstruction of interaction rate in Holographic dark energy model with Hubble horizon as the infrared cut-off
• Chameleon Cosmology Model Describing the Phantom Divide Line Crossing
• Scenario of inflationary cosmology from the phenomenological $\Lambda$ models

Cited by in corpus (6)

• The minimally extended Varying Speed of Light (meVSL)
• Cosmological implications of an interacting model of dark matter \& dark energy
• Cosmological aspects of $f(R,T)$ gravity in a simple model with a parametrization of $q$
• Latest data constraint of some parameterized dark energy models
• Constraining neutrino mass in dynamical dark energy cosmologies with the logarithm parametrization and the oscillating parametrization
• Reconstructing cosmic evolution with a density parametrization