Constant mean curvature foliation of globally hyperbolic \((2 + 1)\)-spacetimes with particles
DOI10.1007/s10711-018-0393-7zbMath1432.53090arXiv1705.03674OpenAlexW2612682364MaRDI QIDQ2312740
Publication date: 17 July 2019
Published in: Geometriae Dedicata (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1705.03674
Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Applications of global differential geometry to the sciences (53C80) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50)
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Cites Work
- Unnamed Item
- On the geometry of the initial singularity of globaly hyperbolic space-time
- Maximal surfaces in anti-de Sitter 3-manifolds with particles
- Maximal surfaces and the universal Teichmüller space
- Prescribing Gauss curvature of surfaces in 3-dimensional spacetimes. Application to the Minkowski problem in the Minkowski space
- Collisions of particles in locally AdS spacetimes. I. Local description and global examples
- Harmonic maps of conic surfaces with cone angles less than \(2\pi\)
- Foliations of globally hyperbolic spacetimes by CMC hypersurfaces
- Convex surfaces in Lorentzian spaces of constant curvature
- A cyclic extension of the earthquake flow. I
- Constant mean curvature foliations of globally hyperbolic spacetimes locally modelled on \(Ad\, S_{3}\)
- Minimal surfaces and particles in 3-manifolds
- Lorentz spacetimes of constant curvature
- Collars and partitions of hyperbolic cone-surfaces
- On Codazzi Tensors on a Hyperbolic Surface and Flat Lorentzian Geometry
- Prescribing Curvature on Compact Surfaces with Conical Singularities
- Canonical quantization of gravitating point particles in 2+1 dimensions
- Area-preserving diffeomorphisms of the hyperbolic plane and K-surfaces in anti-de Sitter space
- Prescribing Metrics on the Boundary of Anti-de Sitter 3-Manifolds
- Quantization of point particles in (2 + 1)-dimensional gravity and spacetime discreteness
- Constant Gauss curvature foliations of AdS spacetimes with particles
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