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arxiv: 1307.0521 · v1 · pith:RQVRKN4Mnew · submitted 2013-07-01 · 🌀 gr-qc

Complete density perturbations in the Jordan-Fierz-Brans-Dicke theory

classification 🌀 gr-qc
keywords densityevolutionjordan-fierz-brans-dicketheoriescontrastequationfourth-orderlambda-cdm
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In the context of scalar-tensor theories we study the evolution of the density contrast for Jordan-Fierz-Brans-Dicke theories in a Friedmann-Lemaitre-Robertson-Walker Universe. Calculations are performed in the Einstein Frame with the cosmological background described as Lambda-Cold Dark Matter (Lambda-CDM) and supplemented by a Jordan-Fierz-Brans-Dicke field. By using a completely general procedure valid for all scalar-tensor theories, we obtain the exact fourth-order differential equation for the density contrast evolution in modes of arbitrary size. In the case of sub-Hubble modes, the expression reduces to a simpler but still fourth-order equation that is then compared with the standard (quasistatic) approximation. Differences with respect to the evolution as predicted by the standard Concordance Lambda-CDM model are observed depending on the value of the coupling.

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