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Existence of outermost apparent horizons with product of spheres topology
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Schwartz, Fernando (2008) Existence of outermost apparent horizons with product of spheres topology. Communications in Analysis and Geometry, Vol.16 (No.4). pp. 799-817. ISSN 1019-8385.
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Abstract
In this paper we construct the first examples of (n + m + 2)dimensional asymptotically. at Riemannian manifolds with non-negative scalar curvature that have outermost minimal hypersurfaces with non-spherical topology for n, m >= 1.
The outermost minimal hypersurfaces are, topologically, S-n x Sm+1. In the context of general relativity these hypersurfaces correspond to outermost apparent horizons of black holes.
Item Type: | Journal Article | ||||
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Subjects: | Q Science > QA Mathematics | ||||
Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||
Library of Congress Subject Headings (LCSH): | Manifolds (Mathematics), Riemannian manifolds, Topology, Hypersurfaces | ||||
Journal or Publication Title: | Communications in Analysis and Geometry | ||||
Publisher: | International Press | ||||
ISSN: | 1019-8385 | ||||
Official Date: | October 2008 | ||||
Dates: |
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Volume: | Vol.16 | ||||
Number: | No.4 | ||||
Number of Pages: | 19 | ||||
Page Range: | pp. 799-817 | ||||
Status: | Peer Reviewed | ||||
Publication Status: | Published | ||||
Access rights to Published version: | Restricted or Subscription Access |
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