Covariant gravitational equations on a brane world with a Gauss-Bonnet term

Keiichi Maeda, Takashi Torii

    Research output: Contribution to journalArticle

    92 Citations (Scopus)

    Abstract

    We present covariant gravitational equations to describe a four-dimensional brane world in the case with a Gauss-Bonnet term in a bulk spacctime, assuming that gravity is confined on the Z2 symmetric brane. It contains some components of the five-dimensional Weyl curvature (Eμν) which describes all effects from the bulk spacctime just as in the case of the Randall-Sundrum second model. Applying this formalism to cosmology, we derive the generalized Friedmann equation and calculate the Weyl curvature term, which is directly obtained from a black hole solution.

    Original languageEnglish
    Article number024002
    JournalPhysical Review D
    Volume69
    Issue number2
    DOIs
    Publication statusPublished - 2004

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    curvature
    cosmology
    gravitation
    formalism

    ASJC Scopus subject areas

    • Physics and Astronomy (miscellaneous)

    Cite this

    Covariant gravitational equations on a brane world with a Gauss-Bonnet term. / Maeda, Keiichi; Torii, Takashi.

    In: Physical Review D, Vol. 69, No. 2, 024002, 2004.

    Research output: Contribution to journalArticle

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