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Asymptotically flat extensions of CMC Bartnik data
Department of Mathematics, University of Connecticut, Storrs, CT 06269, United States of America.
Department of Mathematics, Universität Tübingen, 72076 Tübingen, Germany.
Institutionen för Matematik, Kungliga Tekniska högskolan, 100 44 Stockholm, Sweden; School of Science and Technology, University of New England, Armidale, NSW 2351, Australia.ORCID iD: 0000-0001-9536-9908
Department of Mathematics, University of Miami, Coral Gables, FL 33146, United States of America.
2017 (English)In: Classical and quantum gravity, ISSN 0264-9381, E-ISSN 1361-6382, Vol. 34, no 10, article id 105001Article in journal (Refereed) Published
Abstract [en]

Let g be a metric on the 2-sphere  with positive Gaussian curvature and H be a positive constant. Under suitable conditions on (gH), 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 (gH) 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.

Place, publisher, year, edition, pages
Institute of Physics (IOP), 2017. Vol. 34, no 10, article id 105001
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Mathematical Analysis
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URN: urn:nbn:se:ltu:diva-95207DOI: 10.1088/1361-6382/aa6921ISI: 000413778300001Scopus ID: 2-s2.0-85018988148OAI: oai:DiVA.org:ltu-95207DiVA, id: diva2:1725090
Available from: 2023-01-10 Created: 2023-01-10 Last updated: 2023-05-08Bibliographically approved

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