Stationary spacetime from intersecting M-branes

Makoto Tanabe, Keiichi Maeda

    Research output: Contribution to journalArticle

    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, 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. 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)393-398
    Number of pages6
    JournalJournal of Physics: Conference Series
    Volume33
    Issue number1
    DOIs
    Publication statusPublished - 2006 Apr 1

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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

    • Physics and Astronomy(all)

    Cite this

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

    In: Journal of Physics: Conference Series, Vol. 33, No. 1, 01.04.2006, p. 393-398.

    Research output: Contribution to journalArticle

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