TY - JOUR

T1 - Stationary spacetime from intersecting M-branes

AU - Tanabe, Makoto

AU - Maeda, Kei Ichi

N1 - Funding Information:
We would like to thank Valeri Frolov, Dmitri Gal'tsov, Gary Gibbons, James Isenberg, Renata Kallosh, Tatsuhiko Koike, Robert Mann, Shuntaro Mizuno, Hidefumi Nomura, Masato Nozawa, Nobuyoshi Ohta, and Takashi Torii for useful discussions. K.M. also acknowledges Nobuyoshi Ohta for his especially helpful comments and M.T. expresses his heartfelt thanks to Hiroyuki Hyuga for encouragement. This work was partially supported by the Grant-in-Aid for Scientific Research Fund of the JSPS (No. 17540268) and another for the Japan–UK Research Cooperative Program, and by the Waseda University Grants for Special Research Projects and for The 21st Century COE Program (Holistic Research and Education Center for Physics Self-organization Systems) at Waseda University.

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.

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

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

M3 - Article

AN - SCOPUS:34250176547

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 -