### 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 | AIP Conference Proceedings |

Pages | 412-419 |

Number of pages | 8 |

Volume | 861 |

DOIs | |

Publication status | Published - 2006 |

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

### Other

Other | Albert Einstein Century International Conference |
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City | Paris |

Period | 05/7/18 → 05/7/22 |

### Fingerprint

### Keywords

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

### ASJC Scopus subject areas

- Physics and Astronomy(all)

### Cite this

*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.

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

*AIP Conference Proceedings.*vol. 861, pp. 412-419, Albert Einstein Century International Conference, Paris, 05/7/18. https://doi.org/10.1063/1.2399604

}

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 -