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 Fi j, which is a rotational part of gravity, is selfdual. 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 publicationAIP Conference Proceedings
    Pages412-419
    Number of pages8
    Volume861
    DOIs
    Publication statusPublished - 2006
    EventAlbert Einstein Century International Conference - Paris
    Duration: 2005 Jul 182005 Jul 22

    Other

    OtherAlbert Einstein Century International Conference
    CityParis
    Period05/7/1805/7/22

    Fingerprint

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

    Keywords

    • D-brane
    • M theory
    • Supergravity
    • Superstring
    • Supersymmetry

    ASJC Scopus subject areas

    • Physics and Astronomy(all)

    Cite this

    Maeda, K., & Tanabe, M. (2006). Stationary spacetime from intersecting M-branes. In AIP Conference Proceedings (Vol. 861, pp. 412-419) https://doi.org/10.1063/1.2399604

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

    AIP Conference Proceedings. Vol. 861 2006. p. 412-419.

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

    Maeda, K & Tanabe, M 2006, Stationary spacetime from intersecting M-branes. in AIP Conference Proceedings. vol. 861, pp. 412-419, Albert Einstein Century International Conference, Paris, 05/7/18. https://doi.org/10.1063/1.2399604
    Maeda K, Tanabe M. Stationary spacetime from intersecting M-branes. In AIP Conference Proceedings. Vol. 861. 2006. p. 412-419 https://doi.org/10.1063/1.2399604
    Maeda, Keiichi ; Tanabe, Makoto. / Stationary spacetime from intersecting M-branes. AIP Conference Proceedings. Vol. 861 2006. pp. 412-419
    @inproceedings{de40e1f0f554439e8ef5b5f859bf3f94,
    title = "Stationary spacetime from intersecting M-branes",
    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 Fi j, which is a rotational part of gravity, is selfdual. We also discuss non-spherical {"}black{"} objects (e.g., a ring topology and an elliptical shape) by use of other curvilinear coordinates.",
    keywords = "D-brane, M theory, Supergravity, Superstring, Supersymmetry",
    author = "Keiichi Maeda and Makoto Tanabe",
    year = "2006",
    doi = "10.1063/1.2399604",
    language = "English",
    isbn = "9780735403598",
    volume = "861",
    pages = "412--419",
    booktitle = "AIP Conference Proceedings",

    }

    TY - GEN

    T1 - Stationary spacetime from intersecting M-branes

    AU - Maeda, Keiichi

    AU - Tanabe, Makoto

    PY - 2006

    Y1 - 2006

    N2 - 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 Fi j, which is a rotational part of gravity, is selfdual. We also discuss non-spherical "black" objects (e.g., a ring topology and an elliptical shape) by use of other curvilinear coordinates.

    AB - 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 Fi j, which is a rotational part of gravity, is selfdual. We also discuss non-spherical "black" objects (e.g., a ring topology and an elliptical shape) by use of other curvilinear coordinates.

    KW - D-brane

    KW - M theory

    KW - Supergravity

    KW - Superstring

    KW - Supersymmetry

    UR - http://www.scopus.com/inward/record.url?scp=77956671159&partnerID=8YFLogxK

    UR - http://www.scopus.com/inward/citedby.url?scp=77956671159&partnerID=8YFLogxK

    U2 - 10.1063/1.2399604

    DO - 10.1063/1.2399604

    M3 - Conference contribution

    AN - SCOPUS:77956671159

    SN - 9780735403598

    VL - 861

    SP - 412

    EP - 419

    BT - AIP Conference Proceedings

    ER -