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arXiv · 1407.4766

Localizing solutions of the Einstein constraint equations

Alessandro Carlotto·Richard Schoen
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Abstract

We perform an optimal localization of asymptotically flat initial data sets and construct data that have positive ADM mass but are exactly trivial outside a cone of arbitrarily small aperture. The gluing scheme that we develop allows to produce a new class of $N$-body solutions for the Einstein equation, which patently exhibit the phenomenon of gravitational shielding: for any large $T$ we can engineer solutions where any two massive bodies do not interact at all for any time $t\in(0,T)$, in striking contrast with the Newtonian gravity scenario.

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Alessandro Carlotto, Richard Schoen. 2014-07-17. Localizing solutions of the Einstein constraint equations. https://arxiv.org/abs/1407.4766

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