New solutions of initial conditions in general relativity

• Published in: Classical and quantum gravity Vol. 31; no. 11; pp. 115001 - 115019
• Main Authors: Tafel, J, Jó wikowski, M
• Format: Journal Article
• Language: English
• Published: IOP Publishing 07.06.2014
• Subjects: conformal method; Curvature; Exact solutions; Exteriors; Initial conditions; initial constraints; Invariants; marginally trapped surface; Mathematical analysis; Quantum gravity; Symmetry

We find new classes of exact solutions of the initial momentum constraint for vacuum Einstein's equations. Considered data are either invariant under a continuous symmetry or they are assumed to have the exterior curvature tensor of a simple form. In general the mean curvature H is non-constant...