Structure formation in the Dvali–Gabadadze–Porrati cosmological model

Kazuya Koyama, Roy Maartens

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Abstract

The DGP brane-world model provides an alternative to the standard LCDM cosmology, in which the late universe accelerates due to a modification of gravity rather than vacuum energy. The cosmological constant Λ in LCDM is replaced by a single parameter, the crossover scale rc, in DGP. The supernova redshift observations can be fitted by both models, with Λ ~ H02 and rc ~ H0−1. This degeneracy is broken by structure formation, which is suppressed in different ways in the two models. There is some confusion in the literature about how the standard linear growth factor is modified in the DGP model. While the luminosity distance can be computed purely from the modified four-dimensional Friedman equation, the evolution of density perturbations requires an analysis of the five-dimensional gravitational field. We show that if the five-dimensional effects are inappropriately neglected, then the four-dimensional Bianchi identities are violated and the computed growth factor is incorrect. By using the five-dimensional equations, we derive the correct growth factor
Original languageEnglish
Pages (from-to)016
Number of pages1
JournalJournal of Cosmology and Astroparticle Physics
Volume2006
Issue number01
DOIs
Publication statusPublished - Jan 2006

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