Existence of Constant Mean Curvature Hypersurfaces in Asymptotically Flat Spacetimes

被引:0
|
作者
Lars Andersson
Mirta S. Iriondo
机构
[1] Royal Institute of Technology,Department of Mathematics
[2] Ciudad Universitaria,FaMAF, Medina Allende y Haya de la Torre
来源
关键词
asymptotic structure; constant mean curvature; Lorentzian geometry;
D O I
暂无
中图分类号
学科分类号
摘要
The problem of existence of spacelike hypersurfaces with constant mean curvature in asymptotically flat spacetimes is considered for a class of asymptotically Schwarzschild spacetimes satisfying an interior condition. Using a barrier construction, a proof is given of the existence of complete hypersurfaces with constant mean cuvature which intersect null infinity in a regular cut.
引用
收藏
页码:503 / 538
页数:35
相关论文
共 50 条
  • [1] Existence of constant mean curvature hypersurfaces in asymptotically flat spacetimes
    Andersson, L
    Iriondo, MS
    ANNALS OF GLOBAL ANALYSIS AND GEOMETRY, 1999, 17 (06) : 503 - 538
  • [2] ON MEAN-CURVATURE FLOW OF SPACELIKE HYPERSURFACES IN ASYMPTOTICALLY FLAT SPACETIMES
    ECKER, K
    JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY SERIES A-PURE MATHEMATICS AND STATISTICS, 1993, 55 : 41 - 59
  • [3] Constant mean curvature slices and trapped surfaces in asymptotically flat spherical spacetimes
    Iriondo, M.
    Malec, E.
    Murchadha, N. O.
    Physical Review D Particles, Fields, Gravitation and Cosmology, 54 (08):
  • [4] Constant mean curvature slices and trapped surfaces in asymptotically flat spherical spacetimes
    Iriondo, M
    Malec, E
    Murchadha, NO
    PHYSICAL REVIEW D, 1996, 54 (08): : 4792 - 4798
  • [5] Mean Curvature Flow in Asymptotically Flat Product Spacetimes
    Kroencke, Klaus
    Petersen, Oliver Lindblad
    Lubbe, Felix
    Marxen, Tobias
    Maurer, Wolfgang
    Meiser, Wolfgang
    Schnuerer, Oliver C.
    Szabo, Ron
    Vertman, Boris
    JOURNAL OF GEOMETRIC ANALYSIS, 2021, 31 (06) : 5451 - 5479
  • [6] Mean Curvature Flow in Asymptotically Flat Product Spacetimes
    Klaus Kröncke
    Oliver Lindblad Petersen
    Felix Lubbe
    Tobias Marxen
    Wolfgang Maurer
    Wolfgang Meiser
    Oliver C. Schnürer
    Áron Szabó
    Boris Vertman
    The Journal of Geometric Analysis, 2021, 31 : 5451 - 5479
  • [7] Spacelike hypersurfaces of constant mean curvature in certain spacetimes
    Alias, LJ
    Romero, A
    Sanchez, M
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1997, 30 (01) : 655 - 661
  • [8] On the bifurcation of spacelike hypersurfaces with constant mean curvature in spacetimes
    Velasquez, Marco A. L.
    Ramalho, Andre F. A.
    DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS, 2023, 88
  • [9] Spacelike hypersurfaces of constant mean curvature in certain spacetimes
    Alias, Luis J.
    Romero, Alfonso
    Sanchez, Miguel
    Nonlinear Analysis, Theory, Methods and Applications, 1997, 30 (1 PART 1): : 655 - 661
  • [10] Uniqueness of spacelike hypersurfaces of constant mean curvature in foliated spacetimes
    Sebastián Montiel
    Mathematische Annalen, 1999, 314 : 529 - 553