منابع مشابه
A Rigidity Theorem for non-Vacuum Initial Data
In this note we prove a theorem on non-vacuum initial data for general relativity. The result presents a “rigidity phenomenon” for the extrinsic curvature, caused by the nonpositive scalar curvature. More precisely, we state that in the case of asymptotically flat non-vacuum initial data if the metric has everywhere non-positive scalar curvature then the extrinsic curvature cannot be compactly ...
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ژورنال
عنوان ژورنال: Communications in Mathematical Physics
سال: 2021
ISSN: 0010-3616,1432-0916
DOI: 10.1007/s00220-021-04033-x