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Article overview
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Model-independent determination of the cosmic expansion rate. I. Application to type-Ia supernovae | Claudia Mignone
; Matthias Bartelmann
; | Date: |
2 Nov 2007 | Abstract: | 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. | Source: | arXiv, 0711.0370 | Services: | Forum | Review | PDF | Favorites |
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