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 time-like Killing vector 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⊥ M2⊥ M2 intersecting branes. Compactifying these solutions into five dimensions, we show that these solutions include the supersymmetric black ring solution. We prove that the solutions preserve the 1/8 supersymmetry if the gravi-electromagnetic field , which is a rotational part of gravity, is self-dual, or to add the additional constraint for the integral constants.

    Original languageEnglish
    Article numberS56
    Pages (from-to)7025-7030
    Number of pages6
    JournalJournal of Physics A: Mathematical and Theoretical
    Volume40
    Issue number25
    DOIs
    Publication statusPublished - 2007 Jun 22

    Fingerprint

    Branes
    Space-time
    M-Theory
    Superstring
    Einstein Equations
    Harmonic Functions
    Poisson's equation
    Supersymmetry
    General Solution
    Electromagnetic Fields
    Superposition
    Gravity
    Harmonic
    First-order
    Ring
    Harmonic functions
    harmonic functions
    Derivative
    Metric
    Poisson equation

    ASJC Scopus subject areas

    • Mathematical Physics
    • Physics and Astronomy(all)
    • Statistical and Nonlinear Physics
    • Modelling and Simulation
    • Statistics and Probability

    Cite this

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

    In: Journal of Physics A: Mathematical and Theoretical, Vol. 40, No. 25, S56, 22.06.2007, p. 7025-7030.

    Research output: Contribution to journalArticle

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