Transition Redshift: New constraints from parametric and nonparametric methods

Abstract

In this paper, we use the Cosmokinematics approach to study the accelerated expansion of the Universe. This is a model independent approach and depends only on the assumption that the Universe is homogeneous and isotropic and is described by the FRW metric. We parametrize the deceleration parameter, $q(z)$, to constrain the transition redshift ($z_t$) at which the expansion of the Universe goes from a decelerating to an accelerating phase. We use three different parametrizations of $q(z)$ namely, $q_\I(z)=q_{\textnormal{\tiny\textsc{1}}}+q_{\textnormal{\tiny\textsc{2}}}z$, $q_\II (z) = q_\3 + q_\4 \ln (1 + z)$ and $q_\III(z)=\frac{1}{2}+\frac{q_{\textnormal{\tiny\textsc{5}}}}{(1+z)^2}$. A joint analysis of the age of galaxies, strong lensing and supernovae Ia data indicates that the transition redshift is less than unity i.e. $z_t<1$. We also use a nonparametric approach (LOESS+SIMEX) to constrain $z_t$. This too gives $z_t<1$ which is consistent with the value obtained by the parametric approach.

Accepted for publication in JCAP

References in corpus (25)

• Dynamics of dark energy
• Dark Energy and the Accelerating Universe
• New Hubble Space Telescope Discoveries of Type Ia Supernovae at z > 1: Narrowing Constraints on the Early Behavior of Dark Energy
• Measuring the Baryon Acoustic Oscillation scale using the SDSS and 2dFGRS
• Reconstructing Dark Energy
• A kinematical approach to dark energy studies
• Nonparametric Dark Energy Reconstruction from Supernova Data
• Reconstruction of the deceleration parameter and the equation of state of dark energy
• Nonparametric Reconstruction of the Dark Energy Equation of State
• Model Independent Reconstruction of the Expansion History of the Universe and the Properties of Dark Energy
• Three thermodynamically-based parametrizations of the deceleration parameter
• Cosmological parameters from strong gravitational lensing and stellar dynamics in elliptical galaxies
• Constraining cosmic deceleration-acceleration transition with type Ia supernova, BAO/CMB and H(z) data
• Bayesian Analysis and Constraints on Kinematic Models from Union SNIa
• Crossing Statistic: Reconstructing the Expansion History of the Universe
• Constraints on Kinematic Model from Recent Cosmic Observations: SN Ia, BAO and Observational Hubble Data
• Constructing a cosmological model-independent Hubble diagram of type Ia supernovae with cosmic chronometers
• When Did Cosmic Acceleration Start ?
• Up to 100,000 reliable strong gravitational lenses in future dark energy experiments
• Constraints on f(R) cosmologies from strong gravitational lensing systems
• Revisiting a model-independent dark energy reconstruction method
• The Age-Redshift Relationship of Old Passive Galaxies
• Cosmological test using strong gravitational lensing systems
• Unbiased constraints on the clumpiness of universe from standard candles
• Are Galaxy Clusters Suggesting an Accelerating Universe Independent of SNe Ia and Gravity Metric Theory?

Cited by in corpus (26)

• A 6% measurement of the Hubble parameter at $z\sim 0.45$: direct evidence of the epoch of cosmic re-acceleration
• Hubble parameter measurement constraints on the redshift of the deceleration-acceleration transition, dynamical dark energy, and space curvature
• The CosmoVerse White Paper: Addressing observational tensions in cosmology with systematics and fundamental physics
• Dark energy equation of state parameter and its variation at low redshifts
• What can Machine Learning tell us about the background expansion of the Universe?
• Gaussian Process Estimation of Transition Redshift
• Constraints on barotropic dark energy models by a new phenomenological $q(z)$ parameterization
• Parametric and nonparametric methods hint dark energy evolution
• An alternative to the LCDM model: the case of scale invariance
• Model independent constraints on transition redshift
• Pantheon update on a model-independent analysis of cosmological supernova data
• Can $f(T)$ models play a bridge between early and late time Universe?
• Constraining An Exact Brans-Dicke gravity theory with Recent Observations
• Revisiting the distance duality relation using a non-parametric regression method
• Unified Dark Fluid and Cosmic Transit Models in Brans-Dicke Theory
• Investigating the accelerated expansion of the Universe through updated constraints on viable $f(R)$ models within the metric formalism
• Effective equation of state in modified gravity and observational constraints
• Galaxy rotation curves using a non-parametric regression method: core, cusp and fuzzy scalar field dark matter models
• Reconstruction of cosmological matter perturbations in Modified Gravity
• Revisiting the epoch of cosmic acceleration
• Constraints on the Transition Redshift using Hubble Phase Space Portrait
• Cosmological Boundary Flux Parameter
• BBN to Late-Time Acceleration in $f(T,{\mathcal{L}}_m)$ Gravity
• Performance of Non-Parametric Reconstruction Techniques in the Late-Time Universe
• Investigating the compatibility of exact solutions in Weyl-type $f(Q,T)$ gravity with observational data
• Late time cosmological solutions in $f(R,T)$ gravity in a viscous Universe