Regular Seminar Makoto Tanabe (Tokyo)
at: 14:00 room Huxley 503 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 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 one eigth supersymmetry if the gravi-electromagnetic field, 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. |