Constraining Dark Energy and Cosmological Transition Redshift with Type Ia Supernovae

Abstract

The property of dark energy and the physical reason for acceleration of the present universe are two of the most difficult problems in modern cosmology. The dark energy contributes about two-thirds of the critical density of the present universe from the observations of type-Ia supernova (SNe Ia) and anisotropy of cosmic microwave background (CMB).The SN Ia observations also suggest that the universe expanded from a deceleration to an acceleration phase at some redshift, implying the existence of a nearly uniform component of dark energy with negative pressure. We use the ``gold'' sample containing 157 SNe Ia and two recent well-measured additions, SNe Ia 1994ae and 1998aq to explore the properties of dark energy and the transition redshift. For a flat universe with the cosmological constant, we measure ${\Omega }_M=0.28_{-0.05}^{+0.04}$, which is consistent with Riess et al. The transition redshift is $z_T=0.60_{-0.08}^{+0.06}$. We also discuss several dark energy models that define the $w(z)$ of the parameterized equation of state of dark energy including one parameter and two parameters ($w(z)$ being the ratio of the pressure to energy density). Our calculations show that the accurately calculated transition redshift varies from $z_T=0.29_{-0.06}^{+0.07}$ to $z_T=0.60_{-0.08}^{+0.06}$ across these models. We also calculate the minimum redshift $z_c$ at which the current observations need the universe to accelerate.

16 pages, 5 figures, 1 table

References in corpus (28)

• Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
• First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Determination of Cosmological Parameters
• Type Ia Supernova Discoveries at z>1 From the Hubble Space Telescope: Evidence for Past Deceleration and Constraints on Dark Energy Evolution
• Exploring the Expansion History of the Universe
• Accelerating Universes with Scaling Dark Matter
• Cosmological Results from High-z Supernovae
• New Constraints on ${\Omega }_M$, ${\Omega }_{\Lambda }$, and w from an Independent Set of Eleven High-Redshift Supernovae Observed with HST
• Cosmological parameter analysis including SDSS Ly-alpha forest and galaxy bias: constraints on the primordial spectrum of fluctuations, neutrino mass, and dark energy
• Supernova Limits on the Cosmic Equation of State
• Constraints on holographic dark energy from type Ia supernova observations
• WMAP constraints on low redshift evolution of dark energy
• The case for dynamical dark energy revisited
• Future Supernovae observations as a probe of dark energy
• 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
• Measuring the Equation-of-state of the Universe: Pitfalls and Prospects
• Cepheid Calibrations from the Hubble Space Telescope of the Luminosity of Two Recent Type Ia Supernovae and a Re-determination of the Hubble Constant
• Opportunities for future supernova studies of cosmic acceleration
• Constraints on holographic dark energy from X-ray gas mass fraction of galaxy clusters
• Cosmological constraints on the dark energy equation of state and its evolution
• Direct Determination of the Kinematics of the Universe and Properties of the Dark Energy as Functions of Redshift
• Dark Energy Constraints from the CTIO Lensing Survey
• Model independent analysis of dark energy I: Supernova fitting result
• Probing the curvature and dark energy
• Constraints on the dark energy equation of state from recent supernova data
• Constraining the Cosmological Parameters and Transition Redshift with Gamma-Ray Bursts and Supernovae
• On the determination of the deceleration parameter from Supernovae data
• Constraints on the dark energy equation of state from the separation of CMB peaks and the evolution of alpha

Cited by in corpus (13)

• Unveiling cosmography from the dark energy equation of state
• Measuring Dark Energy with Gamma-Ray Bursts and Other Cosmological Probes
• Status on bidimensional dark energy parameterizations using SNe Ia JLA and BAO datasets
• Dark Energy and Dark Matter unification via superfluid Chaplygin gas
• DBI models for the unification of dark matter and dark energy
• Seeking Evolution of Dark Energy
• GRBs and fundamental physics
• Revisiting the epoch of cosmic acceleration
• First cosmological constraints on the Superfluid Chaplygin gas model
• Discriminating among cosmological models by data-driven methods
• Dark energy from instantons
• Statefinder analysis of the superfluid Chaplygin gas model
• Bayesian deep learning for dark energy