Model-Independent Reconstruction of the Expansion History of the Universe from Type Ia Supernovae

Abstract

Based on the largest homogeneously reduced set of Type Ia supernova luminosity data currently available -- the Union2 sample -- we reconstruct the expansion history of the Universe in a model-independent approach. Our method tests the geometry of the Universe directly without reverting to any assumptions made on its energy content. This allows us to constrain Dark Energy models and non-standard cosmologies in a straightforward way. The applicability of the presented method is not restricted to testing cosmological models. It can be a valuable tool for pointing out systematic errors hidden in the supernova data and planning future Type Ia supernova cosmology campaigns.

10 pages, 8 figures, to be published in Montly Notices of the Royal Astronomical Society

References in corpus (18)

• 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
• Models of f(R) Cosmic Acceleration that Evade Solar-System Tests
• Improved Cosmological Constraints from New, Old and Combined Supernova Datasets
• Spectra and Light Curves of Six Type Ia Supernovae at 0.511 < z < 1.12 and the Union2 Compilation
• Observational Constraints on the Nature of the Dark Energy: First Cosmological Results from the ESSENCE Supernova Survey
• Improved Dark Energy Constraints from ~100 New CfA Supernova Type Ia Light Curves
• Conditions for the cosmological viability of f(R) dark energy models
• f(R) gravity theories in Palatini formalism: cosmological dynamics and observational constraints
• Observational constraints on self-accelerating cosmology
• Model Independent Reconstruction of the Expansion History of the Universe and the Properties of Dark Energy
• Cosmic Acceleration, Dark Energy and Fundamental Physics
• Cosmological Constraints from Hubble Parameter on f(R) Cosmologies
• Bayesian Analysis and Constraints on Kinematic Models from Union SNIa
• How strong is the evidence for accelerated expansion?
• Supernovae and Cosmology
• Model-independent determination of the cosmic expansion rate. I. Application to type-Ia supernovae
• A model-independent dark energy reconstruction scheme using the geometrical form of the luminosity-distance relation

Cited by in corpus (18)

• 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
• Gaussian Process Cosmography
• Kernel PCA for type Ia supernovae photometric classification
• A simple and robust method for automated photometric classification of supernovae using neural networks
• Model-independent determination of curvature parameter by using $H(z)$ and $D_A(z)$ data pair from BAO measurement
• Nonparametric reconstruction of the cosmic expansion with local regression smoothing and simulation extrapolation
• A metric space for type Ia supernova spectra
• Cosmological Parameter Estimation from SN Ia data: a Model-Independent Approach
• Generalised model-independent characterisation of strong gravitational lenses V: reconstructing the lensing distance ratio by supernovae for a general Friedmann universe
• Reconstruction of cosmological matter perturbations in Modified Gravity
• The Dark Energy Cosmic Clock: A New Way to Parametrise the Equation of State
• Probing the Expansion history of the Universe by Model-Independent Reconstruction from Supernovae and Gamma-Ray Bursts Measurements
• Smoothing expansion rate data to reconstruct cosmological matter perturbations
• The Cosmological Constant Constrained with Union2.1 Supernovae Type Ia Data. Derivation and evaluation of several FRW and Carmeli models presenting underwhelming support for the standard model
• Cosmological parameter constraints using phenomenological symbolic expressions: On the significance of symbolic expression complexity and accuracy
• Performance of Non-Parametric Reconstruction Techniques in the Late-Time Universe
• Cosmological constraints from supernova data set with corrected redshift
• On the sensitivity of weak gravitational lensing to the cosmic expansion function