TY - GEN

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

AU - Maeda, Kei Ichi

PY - 2007/12/1

Y1 - 2007/12/1

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.

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M3 - Conference contribution

AN - SCOPUS:84892773689

SN - 9812569502

SN - 9789812569509

T3 - Gravitation and Astrophysics: On the Occasion of the 90th Year of General Relativity - Proceedings of the 7th Asia-Pacific International Conference, ICGA 2005

SP - 318

EP - 330

BT - Gravitation and Astrophysics

T2 - 7th Asia-Pacific International Conference on Gravitation and Astrophysics, ICGA 2005

Y2 - 23 November 2005 through 26 November 2005

ER -