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Optimal shielding for Einstein gravity
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DOI：10.1088/1361-6382/ad5137.png)
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摘要
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To construct asymptotically-Euclidean Einstein's initial data sets, we introduce the localized seed-to-solution method, which projects from approximate to exact solutions of the Einstein constraints. The method enables us to glue together initial data sets in multiple asymptotically-conical regions, and in particular construct data sets that exhibit the gravity shielding phenomenon, specifically that are localized in a cone and exactly Euclidean outside of it. We achieve optimal shielding in the sense that the metric and extrinsic curvature are controlled at a super-harmonic rate, regardless of how slowly they decay (even beyond the standard Arnowitt-Deser-Misner (ADM) formalism), and the gluing domain can be a collection of arbitrarily narrow nested cones. We also uncover several notions of independent interest: silhouette functions, localized ADM modulator, and relative energy-momentum vector. An axisymmetric example is provided numerically.
Keyword:
initial data set
shielding gravity
optimal decay
relative energy-momentum
期刊
IF:
3.7
论文数:
1.3W
被引数:
3.0W
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引用论文
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Langmuir
LangmuirIF0
PREAI
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