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Asymptotically flat...
Asymptotically flat extensions of CMC Bartnik data
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- Cabrera Pacheco, A. J. (author)
- Department of Mathematics, University of Connecticut, Storrs, CT 06269, United States of America
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- Cederbaum, C. (author)
- Department of Mathematics, Universität Tübingen, 72076 Tübingen, Germany
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- McCormick, Stephen (author)
- Uppsala universitet,KTH,Matematik (Inst.),Institutionen för Matematik, Kungliga Tekniska högskolan, 100 44 Stockholm, Sweden; School of Science and Technology, University of New England, Armidale, NSW 2351, Australia,Tillämpad matematik och statistik
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- Miao, P. (author)
- Department of Mathematics, University of Miami, Coral Gables, FL 33146, United States of America
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(creator_code:org_t)
- 2017-04-11
- 2017
- English.
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In: Classical and quantum gravity. - : Institute of Physics Publishing. - 0264-9381 .- 1361-6382. ; 34:10
- Related links:
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Abstract
Subject headings
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- Let g be a metric on the 2-sphere with positive Gaussian curvature and H be a positive constant. Under suitable conditions on (g, H), we construct smooth, asymptotically flat 3-manifolds M with non-negative scalar curvature, with outer-minimizing boundary isometric to and having mean curvature H, such that near infinity M is isometric to a spatial Schwarzschild manifold whose mass m can be made arbitrarily close to a constant multiple of the Hawking mass of . Moreover, this constant multiplicative factor depends only on (g, H) and tends to 1 as H tends to 0. The result provides a new upper bound of the Bartnik mass associated with such boundary data.
Subject headings
- NATURVETENSKAP -- Fysik (hsv//swe)
- NATURAL SCIENCES -- Physical Sciences (hsv//eng)
- NATURVETENSKAP -- Matematik -- Matematisk analys (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Mathematical Analysis (hsv//eng)
- NATURVETENSKAP -- Matematik -- Geometri (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Geometry (hsv//eng)
Keyword
- Bartnik mass
- constant mean curvature surfaces
- Hawking mass
- scalar curvature
Publication and Content Type
- ref (subject category)
- art (subject category)
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