Schwarzschild solution in brane induced gravity

Gregory Gabadadze, Alberto Iglesias

    Research output: Contribution to journalArticle

    Abstract

    The metric of a Schwarzschild solution in brane induced gravity in five dimensions is studied. We find a nonperturbative solution for which an exact expression on the brane is obtained. We also find a linearized solution in the bulk and argue that a nonsingular exact solution in the entire space should exist. The exact solution on the brane is highly nontrivial as it interpolates between different distance scales. This part of the metric is enough to deduce an important property-the Arnowitt-Deser-Misner canonical formalism (ADM) mass of the solution is suppressed compared to the bare mass of a static source. This screening of the mass is due to nonlinear interactions which give rise to a nonzero curvature outside the source. The curvature extends away from the source to a certain macroscopic distance that coincides with the would-be strong interaction scale. The very same curvature shields the source from strong coupling effects. The four-dimensional law of gravity, including the correct tensorial structure, is recovered at observable distances. We find that the solution has no van Dam-Veltman-Zakharov discontinuity and show that the gravitational field on the brane is always weak, in spite of the fact that the solution is nonperturbative.

    Original languageEnglish (US)
    Article number084024
    JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
    Volume72
    Issue number8
    DOIs
    StatePublished - Oct 15 2005

    Fingerprint

    Branes
    Gravity
    gravitation
    Curvature
    Exact Solution
    curvature
    Metric
    Nonlinear Interaction
    Gravitational Field
    Strong Coupling
    Screening
    Deduce
    Discontinuity
    dams
    Interpolate
    Entire
    gravitational fields
    discontinuity
    screening
    Interaction

    ASJC Scopus subject areas

    • Physics and Astronomy(all)
    • Nuclear and High Energy Physics
    • Mathematical Physics

    Cite this

    Schwarzschild solution in brane induced gravity. / Gabadadze, Gregory; Iglesias, Alberto.

    In: Physical Review D - Particles, Fields, Gravitation and Cosmology, Vol. 72, No. 8, 084024, 15.10.2005.

    Research output: Contribution to journalArticle

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