Collisions of particles in locally AdS spacetimes. I. Local description and global examples

DOI10.1007/s00220-011-1318-6zbMath1252.83071arXiv1010.3602OpenAlexW3098016590MaRDI QIDQ647378

Jean-Marc Schlenker, Thierry Barbot, Francesco Bonsante

Publication date: 23 November 2011

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

Full work available at URL: https://arxiv.org/abs/1010.3602

Mathematics Subject Classification ID

Relativistic cosmology (83F05) Applications of differential geometry to physics (53Z05) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Space-time singularities, cosmic censorship, etc. (83C75) Equations of motion in general relativity and gravitational theory (83C10)

Related Items (17)

Geometric transition from hyperbolic to anti-de Sitter structures in dimension four ⋮ Ideal triangulations and geometric transitions ⋮ A geometric transition from hyperbolic to anti-de Sitter geometry ⋮ Polyhedra inscribed in a quadric ⋮ On branched coverings of singular \((G, X)\)-manifolds ⋮ The convex core of quasifuchsian manifolds with particles ⋮ Collisions of particles in locally AdS spacetimes. II: Moduli of globally hyperbolic spaces ⋮ Cauchy-compact flat spacetimes with extreme BTZ ⋮ Constant scalar curvature hypersurfaces in \((3 + 1)\)-dimensional GHMC Minkowski spacetimes ⋮ Gauss–Bonnet–Chern approach to the averaged Universe ⋮ Hyperbolic ends with particles and grafting on singular surfaces ⋮ Particles with spin in stationary flat spacetimes ⋮ Anti-de Sitter Geometry and Teichmüller Theory ⋮ Constant mean curvature foliation of globally hyperbolic \((2 + 1)\)-spacetimes with particles ⋮ Polynomial quadratic differentials on the complex plane and light-like polygons in the Einstein universe ⋮ A small closed convex projective 4-manifold via Dehn filling ⋮ Weakly inscribed polyhedra

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Fixed points of compositions of earthquakes
• Maximal surfaces and the universal Teichmüller space
• Infinitesimal rigidity of cone-manifolds and the Stoker problem for hyperbolic and Euclidean polyhedra
• Convex polyhedra in Lorentzian space-forms
• Causal properties of AdS-isometry groups I: Causal actions and limit sets
• Causal properties of AdS-isometry groups II. BTZ multi-black-holes
• AdS manifolds with particles and earthquakes on singular surfaces
• Rigidity of hyperbolic cone-manifolds and hyperbolic Dehn surgery
• Metrics on hyperbolic convex polyhedra
• Tameness on the boundary and Ahlfors' measure conjecture
• Minimal surfaces and particles in 3-manifolds
• Lorentz spacetimes of constant curvature
• Notes on a paper of Mess
• Collisions of particles in locally AdS spacetimes. II: Moduli of globally hyperbolic spaces
• Multi-black Holes and Earthquakes on Riemann Surfaces with Boundaries
• Canonical Wick rotations in 3-dimensional gravity
• (2+1)-Einstein spacetimes of finite type
• Closed timelike curves produced by pairs of moving cosmic strings: Exact solutions
• Black hole in three-dimensional spacetime
• Hyperbolic cone-manifolds, short geodesics, and Schwarzian derivatives
• Quantization of point particles in (2 + 1)-dimensional gravity and spacetime discreteness
• The anti-de Sitter Gott universe: a rotating BTZ wormhole
• Domain of Dependence
• The Large Scale Structure of Space-Time

This page was built for publication: Collisions of particles in locally AdS spacetimes. I. Local description and global examples