Fuzzy-pp Waves
arXiv:hep-th/0207225
Abstract
We present a noncommutative version of a plane-wave solution to the gravitational field equations. We start with a given classical solution, admittedly rather simple, and construct an algebra and a differential calculus which supports the metric. In the particular solution presented as an example the 1-forms do not anticommute, to a degree which depends on the amplitude of the deviation of the metric from the standard Minkowski metric.
28 pages, no figures