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Brans-Dicke cosmology in 4Dfrom scalar-vacuum in 5D

2010/01/31 by J. Ponce de Leon
Physics and Astronomy · #Black Holes and Theoretical Physics #Context (archaeology) #Cosmological constant #Cosmology #Cosmology and Gravitation Theories #Dark energy #Dark matter #Friedmann–Lemaître–Robertson–Walker metric #Hypersurface #Metric expansion of space #Noncommutative and Quantum Gravity Theories #Universe #gr-qc #hep-th

paper · pdf · doi:10.1088/1475-7516/2010/03/030

published as JCAP 1003:030,2010 · A typo in equation (4) is fixed. Accepted for publication in J. Cosmol. Astropart. Phys. (JCAP)

arxiv created 2010/03/16 · openalex publication_date 2010/03/29 · arxiv updated 2014/11/20 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/06

Abstract

We show that Brans-Dicke (BD) theory in 5 D may explain the present cosmic accelerated expansion without recurring to matter fields in 5 D or dark energy in 4 D . Without making any assumption on the nature of the extra coordinate or the matter content in 5 D , here we demonstrate that the vacuum BD field equations in 5 D are equivalent, on every hypersurface orthogonal to the extra dimension, to a BD theory in 4 D with a self interacting potential and an effective matter field. The potential is not introduced by hand, instead the reduction procedure provides an expression that determines its shape up to a constant of integration. It also establishes the explicit formulae for the effective matter in 4 D . In the context of FRW cosmologies, we show that the reduced BD theory gives rise to models for accelerated expansion of a matter-dominated universe which are consistent with current observations and with a decelerating radiation-dominated epoch.

Citations