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.

arXiv comment28 pages and 22 figures

References in corpus (148)

• Measurements of Omega and Lambda from 42 High-Redshift Supernovae
• First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Determination of Cosmological Parameters
• Seven-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Interpretation
• Dynamics of dark energy
• Detection of the Baryon Acoustic Peak in the Large-Scale Correlation Function of SDSS Luminous Red Galaxies
• Type Ia Supernova Discoveries at z>1 From the Hubble Space Telescope: Evidence for Past Deceleration and Constraints on Dark Energy Evolution
• 4D Gravity on a Brane in 5D Minkowski Space
• A Phantom Menace? Cosmological consequences of a dark energy component with super-negative equation of state
• The clustering of galaxies in the completed SDSS-III Baryon Oscillation Spectroscopic Survey: cosmological analysis of the DR12 galaxy sample
• The Case for a Positive Cosmological Lambda-term
• Quintessence, Cosmic Coincidence, and the Cosmological Constant
• The 6dF Galaxy Survey: Baryon Acoustic Oscillations and the Local Hubble Constant
• An alternative to quintessence
• A Flat Universe from High-Resolution Maps of the Cosmic Microwave Background Radiation
• Accelerating Universes with Scaling Dark Matter
• Dark energy cosmology: the equivalent description via different theoretical models and cosmography tests
• Generalized Chaplygin Gas, Accelerated Expansion and Dark Energy-Matter Unification
• A Dynamical Solution to the Problem of a Small Cosmological Constant and Late-time Cosmic Acceleration
• k-Inflation
• The clustering of galaxies in the SDSS-III Baryon Oscillation Spectroscopic Survey: Baryon Acoustic Oscillations in the Data Release 10 and 11 galaxy samples
• Baryon Acoustic Oscillations in the Sloan Digital Sky Survey Data Release 7 Galaxy Sample
• The 3D power spectrum of galaxies from the SDSS
• The Hubble Space Telescope Cluster Supernova Survey: V. Improving the Dark Energy Constraints Above z>1 and Building an Early-Type-Hosted Supernova Sample
• Statefinder -- a new geometrical diagnostic of dark energy
• New Constraints on ${\Omega }_M$, ${\Omega }_{\Lambda }$, and w from an Independent Set of Eleven High-Redshift Supernovae Observed with HST
• Kinetically Driven Quintessence
• Curvature Quintessence
• Constraints on the redshift dependence of the dark energy potential
• MAXIMA-1: A Measurement of the Cosmic Microwave Background Anisotropy on angular scales of 10 arcminutes to 5 degrees
• Rolling Tachyon
• A 6% measurement of the Hubble parameter at $z\sim 0.45$: direct evidence of the epoch of cosmic re-acceleration
• Cosmic Chronometers: Constraining the Equation of State of Dark Energy. I: H(z) Measurements
• Seven-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Sky Maps, Systematic Errors, and Basic Results
• Raising the bar: new constraints on the Hubble parameter with cosmic chronometers at z$\sim$2
• Improved constraints on the expansion rate of the Universe up to z~1.1 from the spectroscopic evolution of cosmic chronometers
• The WiggleZ Dark Energy Survey: mapping the distance-redshift relation with baryon acoustic oscillations
• The WiggleZ Dark Energy Survey: Joint measurements of the expansion and growth history at z < 1
• Observational Constraints on the Nature of the Dark Energy: First Cosmological Results from the ESSENCE Supernova Survey
• Exploring the Expanding Universe and Dark Energy using the Statefinder Diagnostic
• Unifying phantom inflation with late-time acceleration: scalar phantom-non-phantom transition model and generalized holographic dark energy
• Baryon Acoustic Oscillations in the Lyα forest of BOSS DR11 quasars
• SALT2: using distant supernovae to improve the use of Type Ia supernovae as distance indicators
• Improved Distances to Type Ia Supernovae with Multicolor Light Curve Shapes: MLCS2k2
• Two new diagnostics of dark energy
• Clustering of Luminous Red Galaxies IV: Baryon Acoustic Peak in the Line-of-Sight Direction and a Direct Measurement of H(z)
• Baryon Acoustic Oscillations in the Ly-α forest of BOSS quasars
• The final state and thermodynamics of dark energy universe
• Age-dating Luminous Red Galaxies observed with the Southern African Large Telescope
• Quintessence arising from exponential potentials
• Quasar-Lyman $\alpha$ Forest Cross-Correlation from BOSS DR11 : Baryon Acoustic Oscillations
• The HST Key Project on the Extragalactic Distance Scale. XXVIII. Combining the Constraints on the Hubble Constant
• Dark Matter and Dark Energy
• Evolution of the Scale Factor with a Variable Cosmological Term
• Can the Chaplygin gas be a plausible model for dark energy?
• Is there Supernova Evidence for Dark Energy Metamorphosis ?
• Measurement of BAO correlations at $z=2.3$ with SDSS DR12 \lya-Forests
• WMAP constraints on low redshift evolution of dark energy
• Reconstructing the Cosmic Equation of State from Supernova distances
• T-duality and Actions for Non-BPS D-branes
• Nonminimal coupling and quintessence
• Tachyon couplings on non-BPS D-branes and Dirac-Born-Infeld action
• Future Supernovae observations as a probe of dark energy
• Modeling the Anisotropic Two-Point Galaxy Correlation Function on Small Scales and Improved Measurements of H(z), D_A(z), and f(z)sigma_8(z) from the Sloan Digital Sky Survey DR7 Luminous Red Galaxies
• First Cosmology Results using Type Ia Supernovae from the Dark Energy Survey: Constraints on Cosmological Parameters
• Constraining the equation of state of the Universe from Distant Type Ia Supernovae and Cosmic Microwave Background Anisotropies
• The Robustness of Quintessence
• Phenomenological parameterization of quintessence
• Cosmic acceleration without quintessence
• A comparison of cosmological models using recent supernova data
• First Cosmological Results using Type Ia Supernovae from the Dark Energy Survey: Measurement of the Hubble Constant
• From cosmic deceleration to acceleration: new constraints from SN Ia and BAO/CMB
• Theoretical Models of Dark Energy
• Simultaneous constraints on the growth of structure and cosmic expansion from the multipole power spectra of the SDSS DR7 LRG sample
• Dark matter, dark energy, and alternate models: A review
• A Measurement of the Angular Power Spectrum of the Anisotropy in the Cosmic Microwave Background
• Gravitational Lensing as a Probe of Quintessence
• Cosmological models with linearly varying deceleration parameter
• The clustering of galaxies in the completed SDSS-III Baryon Oscillation Spectroscopic Survey: tomographic BAO analysis of DR12 combined sample in configuration space
• Transition Redshift: New Kinematic Constraints from Supernovae
• The clustering of galaxies in the SDSS-III Baryon Oscillation Spectroscopic Survey: single-probe measurements and the strong power of normalized growth rate on constraining dark energy
• Bouncing cosmology in modified Gauss-Bonnet gravity
• Cosmological constraints on the dark energy equation of state and its evolution
• Statefinder parameters for interacting dark energy
• Consequences on variable Lambda-models from distant Type Ia supernovae and compact radio sources
• Cosmology with hybrid expansion law: scalar field reconstruction of cosmic history and observational constraints
• Observational constraints on one-parameter dynamical dark-energy parametrizations and the $H_0$ tension
• A litmus test for Lambda
• Models for Little Rip Dark Energy
• Bouncing cosmology with future singularity from modified gravity
• Cosmological dynamics of non-minimally coupled scalar field system and its late time cosmic relevance
• Dynamics of Logamediate Inflation
• A parametric reconstruction of the deceleration parameter
• Probing the dynamics of dark energy with novel parametrizations
• Comprehensive cosmographic analysis by Markov Chain Method
• Three thermodynamically-based parametrizations of the deceleration parameter
• Cosmological models described by a mixture of van der Waals fluid and dark energy
• Cosmokinetics: A joint analysis of Standard Candles, Rulers and Cosmic Clocks
• Observational constraints on the acceleration of the Universe
• Acceleration of the universe with a simple trigonometric potential
• A divergence free parametrization of deceleration parameter for scalar field dark energy
• $Om$ 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
• Reconstruction of cosmic history from a simple parametrization of H
• Interacting polytropic gas model of phantom dark energy in non-flat universe
• A Comparison of Thawing and Freezing Dark Energy Parametrizations
• Variable Modified Chaplygin Gas and Accelerating Universe
• A periodic varying deceleration parameter in $f(R,T)$ gravity
• Study of the Magnitude-Redshift Relation for type Ia Supernovae in a Model resulting from a Ricci-Symmetry
• Constraints on barotropic dark energy models by a new phenomenological $q(z)$ parameterization
• Constraints on reconstructed dark energy model from SN Ia and BAO/CMB observations
• Can dark energy be expressed as a power series of the Hubble parameter?
• Observational Constraints on Oscillating Dark-Energy Parametrizations
• Reconstruction and constraining of the jerk parameter from OHD and SNe Ia observations
• Fitting the Union2.1 SN Sample with the R_h=ct Universe
• Current constraints on the epoch of cosmic acceleration
• SN and BAO constraints on (new) polynomial dark energy parametrizations: current results and forecasts
• A New Equation of State for Dark Energy Model
• Comprehensive Analysis of a Non-Singular Bounce in $f(R,T)$ Gravitation
• Constraints on a generalized deceleration parameter from cosmic chronometers
• Cosmological bouncing solutions in extended teleparallel gravity theories
• A parametric reconstruction of the cosmological jerk from diverse observational data sets
• Statefinder hierarchy of bimetric and galileon models for concordance cosmology
• Oscillations in the dark energy EoS: new MCMC lessons
• The Age of the Universe
• Cosmological aspects of a hyperbolic solution in $f(R,T)$ gravity
• 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
• Probing the time dependence of dark energy
• Chameleon field and the late time acceleration of the universe
• A program for a problem free Cosmology within a framework of a rich class of scalar tensor theories
• Cosmological singularities in interacting dark energy models with an $\omega (q)$ parametrization
• Singular cosmological evolution using canonical and phantom scalar fields
• Preinflationary dynamics of $\alpha -$attractor in loop quantum cosmology
• Reconstruction of interaction rate in Holographic dark energy model with Hubble horizon as the infrared cut-off
• Non-parametric reconstruction of dark energy and cosmic expansion from the Pantheon compilation of type Ia supernovae
• A new pressure-parametrization unified dark fluid model
• A New Variable Modified Chaplygin Gas Model Interacting with Scalar Field
• Improving cosmological parameter estimation with the future 21 cm observation from SKA
• Chameleon Cosmology Model Describing the Phantom Divide Line Crossing
• A new parametrization of dark energy equation of state leading to double exponential potential
• A new parametrization for dark energy density and future deceleration
• Scenario of inflationary cosmology from the phenomenological $\Lambda$ models
• Cosmic acceleration from coupling of baryonic and dark matter components: Analysis and diagnostics
• Canonical Scalar Field Inflation with a Woods-Saxon Potential
• Late time evolution of a nonminimally coupled scalar field system
• Friedmann-Robertson-Walker Models with Late-Time Acceleration

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