On maximal surfaces in asymptotically flat space-times

DOI10.1007/BF02099876zbMath0703.53053MaRDI QIDQ916112

Robert Bartnik, Piotr T. Chrusciel, Niall Ó Murchadha

Publication date: 1990

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

Lorentzian manifoldmean curvaturesingularity theoremsEinstein vacuum evolutionmaximal slices

Mathematics Subject Classification ID

Space-time singularities, cosmic censorship, etc. (83C75) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50)

Related Items

Maximal hypersurfaces in stationary asymptotically flat spacetimes, Mathematical general relativity: A sampler, Thoughts on the Busemann equation, Positive mass theorems for asymptotically de Sitter spacetimes, A Penrose-like inequality for maximal asymptotically flat spin initial data sets, Totally umbilical lightlike hypersurfaces in Robertson-Walker spacetimes, Uniqueness of spacelike hypersurfaces with constant higher order mean curvature in generalized Robertson–Walker spacetimes

Cites Work

• Unnamed Item
• Existence of maximal surfaces in asymptotically flat spacetimes
• Spacelike hypersurfaces with prescribed boundary values and mean curvature
• Momenta and reduction for general relativity
• Remarks on cosmological spacetimes and constant mean curvature surfaces
• On the invariant mass conjecture in general relativity
• Regularity of variational maximal surfaces
• The boost problem in general relativity
• Proof of the positive mass theorem. II
• Isolated maximal surfaces in spacetime
• The Poincaré group as the symmetry group of canonical general relativity
• The mass of an asymptotically flat manifold
• Total energy momentum in general relativity
• The Large Scale Structure of Space-Time