### 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 |
---|---|

Title of host publication | Gravitation and Astrophysics: 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 |

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

### Other

Other | 7th Asia-Pacific International Conference on Gravitation and Astrophysics, ICGA 2005 |
---|---|

City | Jhongli |

Period | 05/11/23 → 05/11/26 |

### Fingerprint

### ASJC Scopus subject areas

- Astronomy and Astrophysics

### 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)

**Stationary spacetime with intersecting branes in M/superstring theory.** / Maeda, Keiichi.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

*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, 7th Asia-Pacific International Conference on Gravitation and Astrophysics, ICGA 2005, Jhongli, 05/11/23.

}

TY - GEN

T1 - Stationary spacetime with intersecting branes in M/superstring theory

AU - Maeda, Keiichi

PY - 2007

Y1 - 2007

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). 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 Fij, 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.

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). 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 Fij, 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.

UR - http://www.scopus.com/inward/record.url?scp=84892773689&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84892773689&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:84892773689

SN - 9812569502

SN - 9789812569509

SP - 318

EP - 330

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

ER -