2005/10/31 by Makoto Tanabe, Kei-ichi Maeda
Physics and Astronomy · #Black Holes and Theoretical Physics #Black hole (networking) #Brane #Brane cosmology #Classical mechanics #Cosmology and Gravitation Theories #Curvilinear coordinates #Mathematical physics #Noncommutative and Quantum Gravity Theories #Physics #Quantum mechanics #Spacetime #Superposition principle #Superstring theory #Supersymmetry #gr-qc #hep-th
paper · pdf · doi:10.1016/j.nuclphysb.2005.12.019
published as Nucl.Phys.B738:184-218,2006 · 28 pages, no figures
arxiv created 2005/11/07 · openalex publication_date 2006/01/20 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
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, 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.