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Asymptotically flat extensions of CMC Bartnik data
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.). University of New England, Australia.
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 (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.

Place, publisher, year, edition, pages
Institute of Physics Publishing , 2017. Vol. 34, no 10, article id 105001
Keywords [en]
Bartnik mass, constant mean curvature surfaces, Hawking mass, scalar curvature
National Category
Physical Sciences
Identifiers
URN: urn:nbn:se:kth:diva-216533DOI: 10.1088/1361-6382/aa6921ISI: 000413778300001Scopus ID: 2-s2.0-85018988148OAI: oai:DiVA.org:kth-216533DiVA, id: diva2:1160214
Note

Funding details: DAAD, Deutscher Akademischer Austauschdienst; Funding text: The work of CC and SM was partially supported by the DAAD and Universities Australia. CC is indebted to the Baden-Wrttemberg Stiftung for the financial support of this research project by the Eliteprogramme for Postdocs.

QC 20171124

Available from: 2017-11-24 Created: 2017-11-24 Last updated: 2017-11-24Bibliographically approved

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McCormick, Stephen

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