The luminosity-redshift relation in brane-worlds: II. Confrontation with experimental data

Gyula M. Szabó; László Á. Gergely; Zoltán Keresztes

doi:10.1186/1754-0410-1-8

paper

The luminosity-redshift relation in brane-worlds: II. Confrontation with experimental data

arXiv:astro-ph/0702610 · doi:10.1186/1754-0410-1-8

Abstract

The luminosity distance - redshift relation for a wide class of generalized Randall-Sundrum type II brane-world models with Weyl fluid is compared to the presently available supernova data. We find that there is a class of spacially flat models with different amounts of matter $Ω_{ρ}$ and Weyl fluid $Ω_{d}$ , which have a very similar fitting quality. The best-fit models are equally likely and can be regarded as extensions of the $Λ$ CDM model, which is also included. We examine three models with different evolutionary history of the Weyl fluid, characterized by a parameter $α = 0, 2$ and $3$ . The first model describes a brane which had radiated energy into the bulk some time ago, but in recent times this energy exchange has ceased and only a dark radiation ( $α = 0$ ) is left. In the other two models the Weyl-fluid describes a radiating brane throughout the cosmological evolution, up to our days. We find that the trought of the fitting surface extends over a wider $Ω_{d}$ -range with increasing $α$ , but the linear correlation of $Ω_{d}$ and $Ω_{ρ}$ holds all over the examined $Ω_{d}$ range.

Comparison with observations enhanced as compared to v1 of astro-ph/0606698. Discussion based on Gold2006 data set included, preferred values of cosmological parameters given. Argument supporting a relatively high value of the dark radiation developed. v2: Tests of radiating brane models included, published version (15 pages, 10 figures)

The luminosity-redshift relation in brane-worlds: II. Confrontation with experimental data

Abstract

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