### 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 F_{ij}, 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 language | English |
---|---|

Pages (from-to) | 184-218 |

Number of pages | 35 |

Journal | Nuclear Physics B |

Volume | 738 |

Issue number | 1-2 |

DOIs | |

Publication status | Published - 2006 Mar 20 |

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### ASJC Scopus subject areas

- Nuclear and High Energy Physics

### Cite this

*Nuclear Physics B*,

*738*(1-2), 184-218. https://doi.org/10.1016/j.nuclphysb.2005.12.019

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

Research output: Contribution to journal › Article

*Nuclear Physics B*, vol. 738, no. 1-2, pp. 184-218. https://doi.org/10.1016/j.nuclphysb.2005.12.019

}

TY - JOUR

T1 - Stationary spacetime from intersecting M-branes

AU - Maeda, Keiichi

AU - Tanabe, Makoto

PY - 2006/3/20

Y1 - 2006/3/20

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 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.

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 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.

UR - http://www.scopus.com/inward/record.url?scp=31944444918&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=31944444918&partnerID=8YFLogxK

U2 - 10.1016/j.nuclphysb.2005.12.019

DO - 10.1016/j.nuclphysb.2005.12.019

M3 - Article

AN - SCOPUS:31944444918

VL - 738

SP - 184

EP - 218

JO - Nuclear Physics B

JF - Nuclear Physics B

SN - 0550-3213

IS - 1-2

ER -