Stationary spacetime from intersecting M-branes

Keiichi Maeda, Makoto Tanabe

    Research output: Chapter in Book/Report/Conference proceedingConference contribution

    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 F1 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
    Title of host publicationProceedings of the 15th Workshop on General Relativity and Gravitation in Japan, JGRG 2005
    Pages225-228
    Number of pages4
    Publication statusPublished - 2005
    Event15th Workshop on General Relativity and Gravitation in Japan, JGRG 2005 - Tokyo
    Duration: 2005 Nov 282005 Dec 2

    Other

    Other15th Workshop on General Relativity and Gravitation in Japan, JGRG 2005
    CityTokyo
    Period05/11/2805/12/2

    Fingerprint

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

    ASJC Scopus subject areas

    • Atomic and Molecular Physics, and Optics

    Cite this

    Maeda, K., & Tanabe, M. (2005). Stationary spacetime from intersecting M-branes. In Proceedings of the 15th Workshop on General Relativity and Gravitation in Japan, JGRG 2005 (pp. 225-228)

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

    Proceedings of the 15th Workshop on General Relativity and Gravitation in Japan, JGRG 2005. 2005. p. 225-228.

    Research output: Chapter in Book/Report/Conference proceedingConference contribution

    Maeda, K & Tanabe, M 2005, Stationary spacetime from intersecting M-branes. in Proceedings of the 15th Workshop on General Relativity and Gravitation in Japan, JGRG 2005. pp. 225-228, 15th Workshop on General Relativity and Gravitation in Japan, JGRG 2005, Tokyo, 05/11/28.
    Maeda K, Tanabe M. Stationary spacetime from intersecting M-branes. In Proceedings of the 15th Workshop on General Relativity and Gravitation in Japan, JGRG 2005. 2005. p. 225-228
    Maeda, Keiichi ; Tanabe, Makoto. / Stationary spacetime from intersecting M-branes. Proceedings of the 15th Workshop on General Relativity and Gravitation in Japan, JGRG 2005. 2005. pp. 225-228
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