Model-independent determination of the cosmic expansion rate. I. Application to type-Ia supernovae
| dc.creator | Mignone, Claudia | |
| dc.creator | Bartelmann, Matthias | |
| dc.date | 2007-11-02 | |
| dc.date | 2008-03-13 | |
| dc.date.accessioned | 2026-07-07T09:30:37Z | |
| dc.date.available | 2026-07-07T09:30:37Z | |
| dc.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. | |
| dc.description | 9 pages, 8 figures; accepted by A&A; subsection 3.6 added, new references and minor changes | |
| dc.identifier | https://arxiv.org/abs/0711.0370 | |
| dc.identifier | http://arxiv.org/abs/0711.0370 | |
| dc.identifier | Astron.Astrophys. 481 (2008) 295-303 | |
| dc.identifier | doi:10.1051/0004-6361:20078983 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/158174 | |
| dc.subject | Astrophysics | |
| dc.title | Model-independent determination of the cosmic expansion rate. I. Application to type-Ia supernovae | |
| dc.type | text |