Mean Curvature Flow in Asymptotically Flat Product Spacetimes
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Mean Curvature Flow in Asymptotically Flat Product Spacetimes. / Kröncke, Klaus; Lindblad Petersen, Oliver; Lubbe, Felix; Marxen, Tobias; Maurer, Wolfgang; Meiser, Wolfgang; Schnürer, Oliver C.; Szabó, Áron; Vertman, Boris.
I: Journal of Geometric Analysis, Bind 31, Nr. 6, 2021, s. 5451 - 5479.Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt
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TY - JOUR
T1 - Mean Curvature Flow in Asymptotically Flat Product Spacetimes
AU - Kröncke, Klaus
AU - Lindblad Petersen, Oliver
AU - Lubbe, Felix
AU - Marxen, Tobias
AU - Maurer, Wolfgang
AU - Meiser, Wolfgang
AU - Schnürer, Oliver C.
AU - Szabó, Áron
AU - Vertman, Boris
PY - 2021
Y1 - 2021
N2 - We consider the long-time behaviour of the mean curvature flow of spacelike hypersurfaces in the Lorentzian product manifold M× R, where M is asymptotically flat. If the initial hypersurface F⊂ M× R is uniformly spacelike and asymptotic to M× { s} for some s∈ R at infinity, we show that a mean curvature flow starting at F exists for all times and converges uniformly to M× { s} as t→ ∞.
AB - We consider the long-time behaviour of the mean curvature flow of spacelike hypersurfaces in the Lorentzian product manifold M× R, where M is asymptotically flat. If the initial hypersurface F⊂ M× R is uniformly spacelike and asymptotic to M× { s} for some s∈ R at infinity, we show that a mean curvature flow starting at F exists for all times and converges uniformly to M× { s} as t→ ∞.
KW - Asymptotically flat manifolds
KW - Mean curvature flow
KW - Static spacetimes
UR - http://www.scopus.com/inward/record.url?scp=85088984288&partnerID=8YFLogxK
U2 - 10.1007/s12220-020-00486-z
DO - 10.1007/s12220-020-00486-z
M3 - Journal article
AN - SCOPUS:85088984288
VL - 31
SP - 5451
EP - 5479
JO - Journal of Geometric Analysis
JF - Journal of Geometric Analysis
SN - 1050-6926
IS - 6
ER -
ID: 249305750