Toward reconstruction of dynamics of the Universe from distant supernovae type Ia

Abstract

We demonstrate a model-independent method of estimating qualitative dynamics of an accelerating universe from observations of distant type Ia supernovae. Our method is based on the luminosity-distance function, optimized to fit observed distances of supernovae, and the Hamiltonian representation of dynamics for the quintessential universe with a general form of equation of state $p=w(a(z))\rho$. Because of the Hamiltonian structure of FRW dynamics with the equation of state $p=w(a(z))\rho$, the dynamics is uniquelly determined by the potential function $V(a)$ of the system. The effectiveness of this method in discrimination of model parameters of Cardassian evolution scenario is also given. Our main result is the following, restricting to the flat model with the current value of ${\Omega }_{m,0}=0.3$, the constraints at $2\sigma$ confidence level to the presence of ${\rho }^n$ modification of the FRW models are $-0.50\lesssim n\lesssim 0.36$.

arXiv comment15 pages, 12 figures, RevTeX4

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Cited by in corpus (25)

• Reconstructing Dark Energy
• Dynamical vacuum energy, holographic quintom, and the reconstruction of scalar-field dark energy
• Reconstruction of the deceleration parameter and the equation of state of dark energy
• Energy Conditions and Cosmic Acceleration
• Current constraints on interacting holographic dark energy
• Energy conditions and current acceleration of the universe
• Energy Conditions and Supernovae Observations
• Lookback time bounds from energy conditions
• Direct evidence of acceleration from distance modulus redshift graph
• Energy conditions bounds and their confrontation with supernovae data
• FRW Cosmological model with Modified Chaplygin Gas and Dynamical System
• Reconstruction of scalar potentials in two-field cosmological models
• Cosmological models with squared trace in modified gravity
• Energy conditions bounds and supernovae data
• Dynamical dark energy models -- dynamical system approach
• Cosmological zoo -- accelerating models with dark energy
• Asymptotic behavior of Cardassian cosmologies with exponential potentials
• Constraints on Cardassian universe from Gamma ray bursts
• Constraints on Dark Energy Models from Weak Gravity Conjecture
• Latest Observational Constraints on Cardassian Models
• Two-field cosmological models and large-scale cosmic magnetic fields
• Modified Friedmann Cosmologies - theory & observations
• Latest Cosmological Constraints on Cardassian expansion models including the updated Gamma-ray bursts
• Fomin's conception of quantum cosmogenesis
• The relation between Geometry and Matter in classical and quantum Gravity and Cosmology