Constraining cosmic deceleration-acceleration transition with type Ia supernova, BAO/CMB and H(z) data

Abstract

We revisit the kink-like parametrization of the deceleration parameter q(z), which considers a transition, at $z_t$, from cosmic deceleration to acceleration. In this parametrization the initial, at $z\gg z_t$, value of the q-parameter is $q_i$, its final, z=-1, value is $q_f$ and the duration of the transition is parametrized by $\tau$. By assuming a flat space geometry we obtain constraints on the free parameters of the model using recent data from type Ia supernovae, BAO, CMB and the Hubble parameter H(z). The use of H(z) data introduces an explicit dependence of the combined likelihood on the present value of the Hubble parameter $H_0$, allowing us to explore the influence of different priors when marginalizing over this parameter. We also study the importance of the CMB information in the results by considering data from WMAP7, WMAP9 and Planck. We show that the contours and best fit do not depend much on the different CMB data used and that the considered new BAO data is responsible for most of the improvement in the results. Assuming a flat space geometry, $q_i=1/2$ and expressing the present value of the deceleration parameter $q_0$ as a function of the other three free parameters, we obtain $z_t=0.67_{-0.08}^{+0.10}$, $\tau =0.26_{-0.10}^{+0.14}$ and $q_0=-0.48_{-0.13}^{+0.11}$, at 68\% of confidence level, with an uniform prior over $H_0$. If in addition we fix $q_f=-1$, as in flat $\Lambda$CDM, DGP and Chaplygin quartessence that are special models described by our parametrization, we get $z_t=0.66_{-0.04}^{+0.03}$, $\tau =0.33_{-0.04}^{+0.04}$ and $q_0=-0.54_{-0.07}^{+0.05}$, in excellent agreement with flat $\Lambda$CDM for which $\tau =1/3$. We also obtain for flat wCDM, another dark energy model described by our parametrization, the constraint on the equation of state parameter -1.22 < w < -0.78 at more than 99% confidence level.

21 pages, 8 figures

References in corpus (56)

• Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
• Measurements of Omega and Lambda from 42 High-Redshift Supernovae
• Seven-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Interpretation
• Planck 2013 results. XVI. Cosmological parameters
• Nine-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Parameter Results
• 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
• The 6dF Galaxy Survey: Baryon Acoustic Oscillations and the Local Hubble Constant
• An alternative to quintessence
• Nine-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Final Maps and Results
• Baryonic Features in the Matter Transfer Function
• Generalized Chaplygin Gas, Accelerated Expansion and Dark Energy-Matter Unification
• Improved cosmological constraints from a joint analysis of the SDSS-II and SNLS supernova samples
• 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
• A 3% Solution: Determination of the Hubble Constant with the Hubble Space Telescope and Wide Field Camera 3
• Constraints on the redshift dependence of the dark energy potential
• Cosmic Chronometers: Constraining the Equation of State of Dark Energy. I: H(z) Measurements
• 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
• Constraining Cosmological Parameters Based on Relative Galaxy Ages
• Unification of Dark Matter and Dark Energy: the Inhomogeneous Chaplygin Gas
• The WiggleZ Dark Energy Survey: Joint measurements of the expansion and growth history at z < 1
• Supernova Constraints and Systematic Uncertainties from the First 3 Years of the Supernova Legacy Survey
• The clustering of galaxies in the SDSS-III Baryon Oscillation Spectroscopic Survey: Baryon Acoustic Oscillations in the Data Release 9 Spectroscopic Galaxy Sample
• 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
• Cosmological implications of baryon acoustic oscillation (BAO) measurements
• First-year Sloan Digital Sky Survey-II (SDSS-II) Supernova Results: Hubble Diagram and Cosmological Parameters
• A 2% Distance to z=0.35 by Reconstructing Baryon Acoustic Oscillations - I : Methods and Application to the Sloan Digital Sky Survey
• 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 Supernova Legacy Survey 3-year sample: Type Ia Supernovae photometric distances and cosmological constraints
• Hubble parameter measurement constraints on the cosmological deceleration-acceleration transition redshift
• Reconstructing the history of structure formation using redshift distortions
• A kinematical approach to dark energy studies
• Constraints on the generalized Chaplygin gas from supernovae observations
• From cosmic deceleration to acceleration: new constraints from SN Ia and BAO/CMB
• Reconstruction of the deceleration parameter and the equation of state of dark energy
• Transition Redshift: New Kinematic Constraints from Supernovae
• Do SNe Ia Provide Direct Evidence for Past Deceleration of the Universe?
• Three thermodynamically-based parametrizations of the deceleration parameter
• Fluid Interpretation of Cardassian Expansion
• Cosmokinetics: A joint analysis of Standard Candles, Rulers and Cosmic Clocks
• Future Type Ia Supernova Data as Tests of Dark Energy from Modified Friedmann Equations
• Probing kinematics and fate of the Universe with linearly time-varying deceleration parameter
• Constraints on the Dark Side of the Universe and Observational Hubble Parameter Data
• Current constraints on the epoch of cosmic acceleration
• Bayesian analysis of Friedmannless cosmologies
• When did cosmic acceleration start? How fast was the transition?
• Model independent constraints on the cosmological expansion rate
• Constraints on Kinematic Model from Recent Cosmic Observations: SN Ia, BAO and Observational Hubble Data
• When Did Cosmic Acceleration Start ?

Cited by in corpus (38)

• A parametric reconstruction of the deceleration parameter
• Analysis with observational constraints in $\Lambda$-cosmology in $f(R,T)$ gravity
• Constraints on barotropic dark energy models by a new phenomenological $q(z)$ parameterization
• Energy conditions in $f(Q,T)$ gravity
• Accelerating Universe in Hybrid and Logarithmic Teleparallel Gravity
• Cosmological aspects of a hyperbolic solution in $f(R,T)$ gravity
• Quantifying the evidence for the current speed-up of the Universe with low and intermediate-redshift data. A more model-independent approach
• Viscous cosmology in the Weyl-type $f(Q,T)$ gravity
• Transition Redshift: New constraints from parametric and nonparametric methods
• Gravitational wave propagation in $f(R)$ models: New parametrizations and observational constraints
• Constraining An Exact Brans-Dicke gravity theory with Recent Observations
• FLRW cosmology with EDSFD parametrization
• Constraints and cosmography of $\Lambda$CDM in presence of viscosity
• Generalized Chaplygin gas and accelerating universe in $f(Q,T)$ gravity
• Evidence for cosmic acceleration with next-generation surveys: A model-independent approach
• Reconstruction of interaction rate in Holographic dark energy model with Hubble horizon as the infrared cut-off
• New parametrization of the dark-energy equation of state with a single parameter
• Friedmann cosmology with decaying vacuum density in Brans-Dicke theory
• Effective equation of state in modified gravity and observational constraints
• Interacting Holographic Dark Energy, the Present Accelerated Expansion and Black Holes
• Cosmology with viscous generalized Chaplygin gas in $f(Q)$ gravity
• A new parametrization for dark energy density and future deceleration
• Cosmic acceleration from coupling of baryonic and dark matter components: Analysis and diagnostics
• Dark energy constraint on equation of state parameter in the Weyl type $f(Q,T)$ gravity
• Constraints on Cosmographic Functions of Cosmic Chronometers Data Using Gaussian Processes
• Dynamical System Analysis of Quintessence Models with Exponential Potential -- Revisited
• Testing backreaction effects with observational Hubble parameter data
• Stability, dark energy parameterization and swampland aspect of Bianchi Type-$V{I}_h$ cosmological models with f(R, T)-gravity
• Classical and quantum $f(R)$ cosmology: The big rip, the little rip and the little sibling of the big rip
• Higher-order gravity in higher dimensions: Geometrical origins of four-dimensional cosmology?
• Generalized Interacting Dark Energy Model and Loop Quantum Cosmology
• Black Hole Dynamics in Power-law based Metric $f(R)$ Gravity
• Revisiting kink-like parametrization and constraints using OHD/Pantheon+/BAO samples
• A new parametrization of Hubble function and Hubble tension
• Constraining hybrid potential scalar field cosmological model in Lyra's geometry with recent observational data
• Analytic Study of Cosmological Perturbations in a Unified Model of Dark Matter and Dark Energy with a Sharp Transition
• Anisotropic cosmology using observational datasets: exploring via machine learning approaches
• Curvature Late-Time Acceleration in an Eternal Universe