Model independent analysis of dark energy I: Supernova fitting result

Abstract

The nature of dark energy is a mystery to us. This paper uses the supernova data to explore the property of dark energy by some model independent methods. We first Talyor expanded the scale factor $a(t)$ to find out the deceleration parameter $q_0<0$. This result just invokes the Robertson-Walker metric. Then we discuss several different parameterizations used in the literature. We find that ${\Omega }_{DE0}$ is almost less than -1 at $1\sigma$ level. We also find that the transition redshift from deceleration phase to acceleration phase is $z_{\mathrm{T}}\sim 0.3$.

arXiv commentv4: minor corrections, main results unchanged. 10 figures, use revtex, 7 pages, v5: refences updated, will appear in Class. Quantum Grav

References in corpus (38)

• Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
• Measurements of Omega and Lambda from 42 High-Redshift Supernovae
• Type Ia Supernova Discoveries at z>1 From the Hubble Space Telescope: Evidence for Past Deceleration and Constraints on Dark Energy Evolution
• Cosmological parameters from SDSS and WMAP
• Cosmological Constant - the Weight of the Vacuum
• The Case for a Positive Cosmological Lambda-term
• A Flat Universe from High-Resolution Maps of the Cosmic Microwave Background Radiation
• Exploring the Expansion History of the Universe
• Accelerating Universes with Scaling Dark Matter
• Statefinder -- a new geometrical diagnostic of dark energy
• MAXIMA-1: A Measurement of the Cosmic Microwave Background Anisotropy on angular scales of 10 arcminutes to 5 degrees
• Dark Energy Constraints from the Cosmic Age and Supernova
• Exploring the Expanding Universe and Dark Energy using the Statefinder Diagnostic
• Constraints on Cosmological Models from Hubble Space Telescope Observations of High-z Supernovae
• Jerk, snap, and the cosmological equation of state
• Is there Supernova Evidence for Dark Energy Metamorphosis ?
• Prospects for probing the dark energy via supernova distance measurements
• The State of the Dark Energy Equation of State
• WMAP constraints on low redshift evolution of dark energy
• Reconstructing the Cosmic Equation of State from Supernova distances
• Uncorrelated Estimates of Dark Energy Evolution
• Future Supernovae observations as a probe of dark energy
• Cosmological parameters from supernova observations: A critical comparison of three data sets
• Constraining the equation of state of the Universe from Distant Type Ia Supernovae and Cosmic Microwave Background Anisotropies
• New dark energy constraints from supernovae, microwave background and galaxy clustering
• Phenomenological parameterization of quintessence
• A Model-Independent Determination of the Expansion and Acceleration Rates of the Universe as a Function of Redshift and Constraints on Dark Energy
• Model-Independent Constraints on Dark Energy Density from Flux-averaging Analysis of Type Ia Supernova Data
• A model independent approach to the dark energy equation of state
• Opportunities for future supernova studies of cosmic acceleration
• The Luminosity Distance, the Equation of State, and the Geometry of the Universe
• Do SNe Ia Provide Direct Evidence for Past Deceleration of the Universe?
• Direct Determination of the Kinematics of the Universe and Properties of the Dark Energy as Functions of Redshift
• Probing Gravitation, Dark Energy, and Acceleration
• Probing quintessence: reconstruction and parameter estimation from supernovae
• Can luminosity distance measurements probe the equation of state of dark energy
• Unified dark energy models : a phenomenological approach
• Are Domain Walls ruled out ?

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