Initial data engineering

Details Initial data engineering Initial data engineering

2004-03-15

arxiv.org/abs/gr-qc/0403066v2

Commun.Math.Phys.257:29-42,2005

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Final published version, CMP. 19 pages

Scientific paper

10.1007/s00220-005-1345-2

We present a local gluing construction for general relativistic initial data sets. The method applies to generic initial data, in a sense which is made precise. In particular the trace of the extrinsic curvature is not assumed to be constant near the gluing points, which was the case for previous such constructions. No global conditions on the initial data sets such as compactness, completeness, or asymptotic conditions are imposed. As an application, we prove existence of spatially compact, maximal globally hyperbolic, vacuum space-times without any closed constant mean curvature spacelike hypersurface.

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