Foliations of globally hyperbolic spacetimes by CMC hypersurfaces
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Publication:1871476
DOI10.1016/S1631-073X(03)00019-0zbMath1026.53015OpenAlexW1987769768MaRDI QIDQ1871476
Thierry Barbot, François Béguin, Abdelghani Zeghib
Publication date: 9 December 2003
Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s1631-073x(03)00019-0
Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Foliations (differential geometric aspects) (53C12)
Related Items (11)
Constant mean curvature foliations of globally hyperbolic spacetimes locally modelled on \(Ad\, S_{3}\) ⋮ Minimal surfaces and particles in 3-manifolds ⋮ Notes on a paper of Mess ⋮ Asymptotic behavior of Cauchy hypersurfaces in constant curvature space-times ⋮ Quasicircles and quasiperiodic surfaces in pseudo-hyperbolic spaces ⋮ Prescribing Gauss curvature of surfaces in 3-dimensional spacetimes. Application to the Minkowski problem in the Minkowski space ⋮ Reflections on the U(1) problem in general relativity ⋮ The nonvacuum Einstein flow on surfaces of nonnegative curvature ⋮ The geometry of maximal representations of surface groups into \(\mathrm{SO}_0(2,n)\) ⋮ Anti-de Sitter Geometry and Teichmüller Theory ⋮ Constant mean curvature foliation of globally hyperbolic \((2 + 1)\)-spacetimes with particles
Cites Work
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- H-surfaces in Lorentzian manifolds
- On the global evolution problem in \(2+1\) gravity
- Constant mean curvature foliations of flat space-times
- Lorentz spacetimes of constant curvature
- Global aspects of the Cauchy problem in general relativity
- Reduction of the Einstein equations in 2+1 dimensions to a Hamiltonian system over Teichmüller space
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