The luminosity-redshift relation in brane-worlds: I. Analytical results

Details The luminosity-redshift relation in brane-worlds: I. Analytical results The luminosity-redshift relation in brane-worlds: I. Analytical results

2006-06-28

arxiv.org/abs/astro-ph/0606698v3

PMC Phys.A1:4,2007

Astronomy and Astrophysics

Astrophysics

v2: Improved discussion and new references; analytical results kept, comparison with observation moved to astro-ph/0702610, 18

Scientific paper

10.1186/1754-0410-1-4

The luminosity distance - redshift relation is analytically given for generalized Randall-Sundrum type II brane-world models containing dark radiation. The derived expressions contain both elementary functions and elliptic integrals of the first and second kind. First we derive the relation for models with the Randall-Sundrum fine-tuning. Then we generalize the method for models with cosmological constant. The analytical results are suitable for testing brane-world models when future supernova data at higher redshifts will be available.

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