### 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 F_{i 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 language | English |
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Title of host publication | Albert Einstein Century International Conference |

Pages | 412-419 |

Number of pages | 8 |

DOIs | |

Publication status | Published - 2006 Dec 1 |

Event | Albert Einstein Century International Conference - Paris, France Duration: 2005 Jul 18 → 2005 Jul 22 |

### Publication series

Name | AIP Conference Proceedings |
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Volume | 861 |

ISSN (Print) | 0094-243X |

ISSN (Electronic) | 1551-7616 |

### Conference

Conference | Albert Einstein Century International Conference |
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Country | France |

City | Paris |

Period | 05/7/18 → 05/7/22 |

### Keywords

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

### ASJC Scopus subject areas

- Physics and Astronomy(all)

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## Cite this

*Albert Einstein Century International Conference*(pp. 412-419). (AIP Conference Proceedings; Vol. 861). https://doi.org/10.1063/1.2399604