Solutions of special asymptotics to the Einstein constraint equations

Details Solutions of special asymptotics to the Einstein constraint equations Solutions of special asymptotics to the Einstein constraint equations

2010-02-07

arxiv.org/abs/1002.1472v2

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

13 pages; the error in Lemma 3.5 fixed and typos corrected; to appear in Class. Quantum Grav

Scientific paper

We construct solutions with prescribed asymptotics to the Einstein constraint
equations using a cut-off technique. Moreover, we give various examples of
vacuum asymptotically flat manifolds whose center of mass and angular momentum
are ill-defined.

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