TY - JOUR

T1 - Stationary spacetime from intersecting M-branes

AU - Maeda, Kei Ichi

AU - Tanabe, Makoto

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 - 2006/3/20

Y1 - 2006/3/20

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 for a conformally flat base space, 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, and those extension to non-BPS ones. 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 Fij, which is a rotational part of gravity, is self-dual. 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 for a conformally flat base space, 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, and those extension to non-BPS ones. 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 Fij, which is a rotational part of gravity, is self-dual. We also discuss non-spherical "black" objects (e.g., a ring topology and an elliptical shape) by use of other curvilinear coordinates.

UR - http://www.scopus.com/inward/record.url?scp=31944444918&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=31944444918&partnerID=8YFLogxK

U2 - 10.1016/j.nuclphysb.2005.12.019

DO - 10.1016/j.nuclphysb.2005.12.019

M3 - Article

AN - SCOPUS:31944444918

SN - 0550-3213

VL - 738

SP - 184

EP - 218

JO - Nuclear Physics B

JF - Nuclear Physics B

IS - 1-2

ER -