About vacuum solutions of Einstein's field equations with flat three-dimensional hypersurfaces

Journal Article · Mon Sep 01 00:00:00 EDT 1986 · J. Math. Phys. (N.Y.); (United States)

DOI:https://doi.org/10.1063/1.527006· OSTI ID:5494690

Wolf, T

The class of vacuum space-times with a family of flat three-slices and a traceless tensor of exterior curvature K-italic/sub a-italic//sub b-italic/ is examined. Metrics without symmetry and solutions describing gravitational radiation are obtained. It turns out that there is a correlation between rank (K-italic/sub a-italic//sub b-italic/) and the Petrov type. Although the resulting solutions are already known, the richness of the class of space-times with flat slices becomes obvious. An example is given of a metric with one-parameter manifold of families of flat slices.

• Research Organization: Friedrich-Schiller-Universitaet Jena, Sektion Physik, Max-Wien-Platz 1, DDR 6900 Jena, German Democratic Republic
• OSTI ID: 5494690
• Journal Information: J. Math. Phys. (N.Y.); (United States), Vol. 27:9
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
EINSTEIN FIELD EQUATIONS
ANALYTICAL SOLUTION
GENERAL RELATIVITY THEORY
METRICS
SMOOTH MANIFOLDS
SPACE-TIME
TENSORS
EQUATIONS
FIELD EQUATIONS
FIELD THEORIES
MATHEMATICAL MANIFOLDS
657003* - Theoretical & Mathematical Physics- Relativity & Gravitation