Stationary Spacetime from Intersecting M-branes
arXiv:hep-th/0510082 · doi:10.1016/j.nuclphysb.2005.12.019
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 -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, 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.
28 pages, no figures
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Cited by in corpus (7)
- Black Hole in the Expanding Universe from Intersecting Branes
- Supersymmetric Rotating Black Hole in a Compactified Spacetime
- Eternally accelerating spacelike braneworld cosmologies
- Holographic Cosmology from a System of M2-M5 Branes
- Eternally inflating cosmologies from intersecting spacelike branes
- A necessary condition for brane solutions to have their origins in string field theory
- T-duality and dimensional reduction of S-brane solutions