Model independent reconstruction of cosmological accelerated-decelerated phase

Abstract

We propose two model independent methods to obtain constraints on the transition and equivalence redshifts $z_{tr}$, $z_{eq}$. In particular, we consider $z_{tr}$ as the onset of cosmic acceleration, whereas $z_{eq}$ the redshift at which the densities of dark energy and pressureless matter are equated. With this prescription, we expand the Hubble and deceleration parameters up to two hierarchical orders and show a linear correlation between transition and equivalence, from which we propose exclusion plots where $z_{eq}$ is not allowed to span. To this end, we discuss how to build up cosmographic expansions in terms of $z_{tr}$ and compute the corresponding observable quantities directly fitting the luminosity and angular distances and the Hubble rate with cosmic data. We make our computations through Monte Carlo fits involving type Ia supernova, baryonic acoustic oscillation and Hubble most recent data catalogs. We show at $1\sigma$ confidence level the $\Lambda$CDM predictions on $z_{tr}$ and $z_{eq}$ are slightly confirmed, although at $2\sigma$ confidence level dark energy expectations cannot be excluded. Finally, we theoretically interpret our outcomes and discuss possible limitations of our overall approach.

arXiv comment17 pages, 11 figures, 3 tables, Accepted for publication in MNRAS

References in corpus (39)

• Dynamics of dark energy
• The Complete Light-curve Sample of Spectroscopically Confirmed Type Ia Supernovae from Pan-STARRS1 and Cosmological Constraints from The Combined Pantheon Sample
• The 6dF Galaxy Survey: Baryon Acoustic Oscillations and the Local Hubble Constant
• 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 Clustering of the SDSS DR7 Main Galaxy Sample I: A 4 per cent Distance Measure at z=0.15
• The WiggleZ Dark Energy Survey: mapping the distance-redshift relation with baryon acoustic oscillations
• Constraining Cosmological Parameters Based on Relative Galaxy Ages
• Baryon Acoustic Oscillations in the Lyα forest of BOSS DR11 quasars
• Milky Way Cepheid Standards for Measuring Cosmic Distances and Application to Gaia DR2: Implications for the Hubble Constant
• Planck evidence for a closed Universe and a possible crisis for cosmology
• Quasar-Lyman $\alpha$ Forest Cross-Correlation from BOSS DR11 : Baryon Acoustic Oscillations
• Beyond $\Lambda$CDM: Problems, solutions, and the road ahead
• Hubble parameter measurement constraints on the cosmological deceleration-acceleration transition redshift
• Extended Gravity Cosmography
• Cosmography: Cosmology without the Einstein equations
• Hubble parameter measurement constraints on the redshift of the deceleration-acceleration transition, dynamical dark energy, and space curvature
• Hubble Parameter and Baryon Acoustic Oscillation Measurement Constraints on the Hubble Constant, the Deviation from the Spatially-Flat $\Lambda$cdm Model, The Deceleration-Acceleration Transition Redshift, and Spatial Curvature
• Cosmography and constraints on the equation of state of the Universe in various parametrizations
• Cosmographic analysis of the equation of state of the universe through Padé approximations
• Theoretical Models of Dark Energy
• The Hubble series: Convergence properties and redshift variables
• On the theory and applications of modern cosmography
• High-redshift cosmography: auxiliary variables versus Padé polynomials
• Precision cosmology with Padé rational approximations: theoretical predictions versus observational limits
• Cosmographic analysis with Chebyshev polynomials
• Speeding up the universe using dust with pressure
• Addressing the circularity problem in the $E_{\text{p}}-E_{\text{iso}}$ correlation of Gamma-Ray Bursts
• Cosmographic Constraints and Cosmic Fluids
• Unraveling the effective fluid approach for $f(R)$ models in the subhorizon approximation
• Quantifying the global parameter tensions between ACT, SPT and Planck
• Binned Hubble parameter measurements and the cosmological deceleration-acceleration transition
• Statistical methods in cosmology
• Model independent calibrations of gamma ray bursts using machine learning
• Dark Energy and Dark Matter from an additional adiabatic fluid
• Kinematic constraints beyond $z\simeq 0$ using calibrated GRB correlations
• When Did Cosmic Acceleration Start ?
• Cosmodynamics: Energy conditions, Hubble bounds, density bounds, time and distance bounds
• Bounding the Hubble flow in terms of the w parameter