### 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). Using the hyperspherical coordinate system for a flat base space, we explicitly give the solutions in 11-dimensional M theory for the case with M2⊥LM5 intersecting branes and a traveling wave. Compactifying these solutions into five dimensions, we present general solutions, which include the BMPV black hole and the Brinkmann wave solution. 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 construct a supersymmetric rotating black hole in a compactified 4-dimensional spacetime by superposing an infinite number of BMPV black holes.

Original language | English |
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Title of host publication | Gravitation and Astrophysics |

Subtitle of host publication | On the Occasion of the 90th Year of General Relativity - Proceedings of the 7th Asia-Pacific International Conference, ICGA 2005 |

Pages | 318-330 |

Number of pages | 13 |

Publication status | Published - 2007 Dec 1 |

Event | 7th Asia-Pacific International Conference on Gravitation and Astrophysics, ICGA 2005 - Jhongli, Taiwan, Province of China Duration: 2005 Nov 23 → 2005 Nov 26 |

### Publication series

Name | Gravitation and Astrophysics: On the Occasion of the 90th Year of General Relativity - Proceedings of the 7th Asia-Pacific International Conference, ICGA 2005 |
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### Conference

Conference | 7th Asia-Pacific International Conference on Gravitation and Astrophysics, ICGA 2005 |
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Country | Taiwan, Province of China |

City | Jhongli |

Period | 05/11/23 → 05/11/26 |

### ASJC Scopus subject areas

- Astronomy and Astrophysics

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## Cite this

*Gravitation and Astrophysics: On the Occasion of the 90th Year of General Relativity - Proceedings of the 7th Asia-Pacific International Conference, ICGA 2005*(pp. 318-330). (Gravitation and Astrophysics: On the Occasion of the 90th Year of General Relativity - Proceedings of the 7th Asia-Pacific International Conference, ICGA 2005).