An Explicit Isochronal, Isometric Embedding

Abstract

Certain semi-Riemannian metrics may be decomposed into a Riemannian part and an isochronal part. We use this idea and an idea of Kasner to construct a manifold in 6+1 Minkowski space with a well known metric. The full embedding we display is isochronal which simplifies visualizing the properties of the manifold.

5 pages, 2 figures