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arxiv: 1002.1472 · v2 · pith:Y6DM3C6Znew · submitted 2010-02-07 · 🌀 gr-qc · math.DG

Solutions of special asymptotics to the Einstein constraint equations

classification 🌀 gr-qc math.DG
keywords asymptoticsconstrainteinsteinequationssolutionsangularasymptoticallycenter
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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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