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          Institute: MPI für Astronomie     Collection: Publikationen_mpia     Display Documents



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ID: 421533.0, MPI für Astronomie / Publikationen_mpia
Model-independent determination of the cosmic expansion rate. I. Application to type-Ia supernovae
Authors:Mignone, C.; Bartelmann, M.
Language:English
Date of Publication (YYYY-MM-DD):2008
Title of Journal:Astronomy and Astrophysics
Journal Abbrev.:A&A
Volume:481
Start Page:295
End Page:303
Review Status:Peer-review
Audience:Experts Only
Abstract / Description:Aims. In view of the substantial uncertainties regarding the possible dynamics of the dark energy, we aim at constraining the expansion rate of the universe without reference to a specific Friedmann model and its parameters. Methods: We show that cosmological observables integrating over the cosmic expansion rate can be converted into a Volterra integral equation which is known to have a unique solution in terms of a Neumann series. Expanding observables such as the luminosity distances to type-Ia supernovae into a series of orthonormal functions, the integral equation can be solved and the cosmic expansion rate recovered within the limits allowed by the accuracy of the data. Results: We demonstrate the performance of the method applying it to synthetic data sets of increasing complexity, and to the first-year SNLS data. In particular, we show that the method is capable of reproducing a hypothetical expansion function containing a sudden transition.
Free Keywords:cosmology: cosmological parameters; cosmology: observations
External Publication Status:published
Document Type:Article
Communicated by:N. N.
Affiliations:MPI für Astronomie
Identifiers:URL:http://adsabs.harvard.edu/abs/2008A%26A...481..295... [ID No:1]
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