### 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 time-like Killing vector 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⊥ M2⊥ M2 intersecting branes. Compactifying these solutions into five dimensions, we show that these solutions include the supersymmetric black ring solution. We prove that the solutions preserve the 1/8 supersymmetry if the gravi-electromagnetic field , which is a rotational part of gravity, is self-dual, or to add the additional constraint for the integral constants.

Original language | English |
---|---|

Article number | S56 |

Pages (from-to) | 7025-7030 |

Number of pages | 6 |

Journal | Journal of Physics A: Mathematical and Theoretical |

Volume | 40 |

Issue number | 25 |

DOIs | |

Publication status | Published - 2007 Jun 22 |

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### ASJC Scopus subject areas

- Mathematical Physics
- Physics and Astronomy(all)
- Statistical and Nonlinear Physics
- Modelling and Simulation
- Statistics and Probability

### Cite this

*Journal of Physics A: Mathematical and Theoretical*,

*40*(25), 7025-7030. [S56]. https://doi.org/10.1088/1751-8113/40/25/S56

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

Research output: Contribution to journal › Article

*Journal of Physics A: Mathematical and Theoretical*, vol. 40, no. 25, S56, pp. 7025-7030. https://doi.org/10.1088/1751-8113/40/25/S56

}

TY - JOUR

T1 - Stationary spacetime from intersecting M-branes

AU - Tanabe, Makoto

AU - Maeda, Keiichi

PY - 2007/6/22

Y1 - 2007/6/22

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 time-like Killing vector 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⊥ M2⊥ M2 intersecting branes. Compactifying these solutions into five dimensions, we show that these solutions include the supersymmetric black ring solution. We prove that the solutions preserve the 1/8 supersymmetry if the gravi-electromagnetic field , which is a rotational part of gravity, is self-dual, or to add the additional constraint for the integral constants.

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 time-like Killing vector 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⊥ M2⊥ M2 intersecting branes. Compactifying these solutions into five dimensions, we show that these solutions include the supersymmetric black ring solution. We prove that the solutions preserve the 1/8 supersymmetry if the gravi-electromagnetic field , which is a rotational part of gravity, is self-dual, or to add the additional constraint for the integral constants.

UR - http://www.scopus.com/inward/record.url?scp=34250176547&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=34250176547&partnerID=8YFLogxK

U2 - 10.1088/1751-8113/40/25/S56

DO - 10.1088/1751-8113/40/25/S56

M3 - Article

VL - 40

SP - 7025

EP - 7030

JO - Journal of Physics A: Mathematical and Theoretical

JF - Journal of Physics A: Mathematical and Theoretical

SN - 1751-8113

IS - 25

M1 - S56

ER -