The Existence of Horizons in an Asymptotically Flat 3-Manifold
نویسندگان
چکیده
منابع مشابه
A Note on Existence and Non-existence of Minimal Surfaces in Some Asymptotically Flat 3-manifolds
Motivated by problems on apparent horizons in general relativity, we prove the following theorem on minimal surfaces: Let g be a metric on the three-sphere S satisfying Ric(g) ≥ 2g. If the volume of (S, g) is no less than one half of the volume of the standard unit sphere, then there are no closed minimal surfaces in the asymptotically flat manifold (S \ {P}, Gg). Here G is the Green’s function...
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ژورنال
عنوان ژورنال: Mathematical Research Letters
سال: 2005
ISSN: 1073-2780,1945-001X
DOI: 10.4310/mrl.2005.v12.n2.a7