Stationary spacetime from intersecting M-branes

Keiichi Maeda, Makoto Tanabe

    Research output: Contribution to journalArticle

    11 Citations (Scopus)

    Abstract

    We study a stationary "black" brane in M/superstring theory. Assuming BPS-type relations between the first-order derivatives of metric functions, we present general stationary black brane solutions with a traveling wave for the Einstein equations in D-dimensions. The solutions are given by a few independent harmonic equations (and plus the Poisson equation). General solutions are constructed by superposition of a complete set of those harmonic functions. Using the hyperspherical coordinate system for a conformally flat base space, we explicitly give the solutions in 11-dimensional M theory for the case with M2⊥M5 intersecting branes and a traveling wave. Compactifying these solutions into five dimensions, we show that these solutions include the BMPV black hole and the Brinkmann wave solution, and those extension to non-BPS ones. We also find new solutions similar to the Brinkmann wave. We prove that the solutions preserve the 1/8 supersymmetry if the gravi-electromagnetic field Fij, which is a rotational part of gravity, is self-dual. We also discuss non-spherical "black" objects (e.g., a ring topology and an elliptical shape) by use of other curvilinear coordinates.

    Original languageEnglish
    Pages (from-to)184-218
    Number of pages35
    JournalNuclear Physics B
    Volume738
    Issue number1-2
    DOIs
    Publication statusPublished - 2006 Mar 20

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    traveling waves
    harmonic functions
    spherical coordinates
    Einstein equations
    Poisson equation
    string theory
    supersymmetry
    electromagnetic fields
    topology
    gravitation
    harmonics
    rings

    ASJC Scopus subject areas

    • Nuclear and High Energy Physics

    Cite this

    Stationary spacetime from intersecting M-branes. / Maeda, Keiichi; Tanabe, Makoto.

    In: Nuclear Physics B, Vol. 738, No. 1-2, 20.03.2006, p. 184-218.

    Research output: Contribution to journalArticle

    Maeda, Keiichi ; Tanabe, Makoto. / Stationary spacetime from intersecting M-branes. In: Nuclear Physics B. 2006 ; Vol. 738, No. 1-2. pp. 184-218.
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