Rotational perturbations of Friedmann-Robertson-Walker type brane-world cosmological models

Chiang Mei Chen*, T. Harko, Win-Fun Kao, M. K. Mak

*Corresponding author for this work

    Research output: Contribution to journalArticlepeer-review

    28 Scopus citations

    Abstract

    First order rotational perturbations of the Friedmann-Robertson-Walker metric are considered in the framework of the brane-world cosmological models. A rotation equation, relating the perturbations of the metric tensor to the angular velocity of the matter on the brane is derived under the assumption of slow rotation. The mathematical structure of the rotation equation imposes strong restrictions on the temporal and spatial dependence of the brane matter angular velocity. The study of the integrable cases of the rotation equation leads to three distinct models, which are considered in detail. As a general result we find that, similarly to the general relativistic case, the rotational perturbations decay due to the expansion of the matter on the brane. One of the obtained consistency conditions leads to a particular, purely inflationary brane-world cosmological model, with the cosmological fluid obeying a non-linear barotropic equation of state.

    Original languageEnglish
    Article number8384
    Pages (from-to)159-178
    Number of pages20
    JournalNuclear Physics B
    Volume636
    Issue number1-2
    DOIs
    StatePublished - 1 Jan 2002

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