2007
DOI: 10.1186/1754-0410-1-4
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The luminosity-redshift relation in brane-worlds: I. Analytical results

Abstract: The luminosity distance -redshift relation is analytically given for generalized RandallSundrum type II brane-world models containing Weyl fluid either as dark radiation or as a radiation field from the brane. 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 most interesting models contain small amoun… Show more

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Cited by 19 publications
(27 citation statements)
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“…Unfortunately the lack of closure of the dynamical equations on the brane, despite some progress [22]- [24], hindered the development of a full perturbation theory on the brane, hence observations on the Cosmic Microwave Background and on structure formation could not be explored in full generality within the theory. Confrontation with Nucleosynthesis [25] and type Ia supernova data has been successfully done [26]- [27]. Brane-world effects were also shown to successfully replace dark matter, both in the dynamics of clusters [28] and in galactic dynamics [29]- [31], thus solving the rotation curve problem [32].…”
Section: Introductionmentioning
confidence: 99%
“…Unfortunately the lack of closure of the dynamical equations on the brane, despite some progress [22]- [24], hindered the development of a full perturbation theory on the brane, hence observations on the Cosmic Microwave Background and on structure formation could not be explored in full generality within the theory. Confrontation with Nucleosynthesis [25] and type Ia supernova data has been successfully done [26]- [27]. Brane-world effects were also shown to successfully replace dark matter, both in the dynamics of clusters [28] and in galactic dynamics [29]- [31], thus solving the rotation curve problem [32].…”
Section: Introductionmentioning
confidence: 99%
“…Recently there has been some progress in this direction [35]. An extensive study on confronting this braneworld model with observations in a more rigorous method can provide us with necessary information on the merits and demerits of the formalism.…”
Section: Summary and Open Issuesmentioning
confidence: 99%
“…It is thus important to determine the nature as well as the role of this entity, called in general the Weyl fluid, in the cosmological dynamics and perturbations, and find if this scenario has some advantages over others. A recent work [21] has shown its significance as a possible dark matter candidate by Newtonian analysis of perturbations, followed by some confrontation with observations [35]. However, as in GR, the Newtonian analysis of gravitational instability is limited in the sense that it fails to account for the perturbations on scales larger than the Hubble radius.…”
Section: Introductionmentioning
confidence: 99%
“…The most general form of the four-dimensional Friedmann equation in braneworld models can be written as [70][71][72][73][74][75][76]…”
Section: −180mentioning
confidence: 99%