Localizing solutions of the Einstein constraint equations

• 成果类型: Article
• 署名作者: Carlotto, Alessandro; Schoen, Richard
• 署名单位: Swiss Federal Institutes of Technology Domain; ETH Zurich; University of California System; University of California Irvine
• 刊物名称: INVENTIONES MATHEMATICAE
• ISSN/ISSBN: 0020-9910
• DOI: 10.1007/s00222-015-0642-4
• 发表日期: 2016
• 页码: 559-615
• 关键词: initial data sets; general-relativity; scalar curvature; CONSTRUCTION; 3-manifolds; RIGIDITY; mass; SURFACES; PROOF

摘要

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 , in striking contrast with the Newtonian gravity scenario.