On the geometry of the initial singularity of globaly hyperbolic space-time

DOI10.5802/aif.2854zbMath1336.53033OpenAlexW2513550659MaRDI QIDQ486761

Mehdi Belraouti

Publication date: 16 January 2015

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.5802/aif.2854

zbMATH Keywords

Lorentzian geometryflat spacetimeGromov equivariant topologyquasi-concave time function

Mathematics Subject Classification ID

Space-time singularities, cosmic censorship, etc. (83C75) Local differential geometry of Lorentz metrics, indefinite metrics (53B30)

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Cites Work

• Cosmological time versus CMC time in spacetimes of constant curvature
• Globally hyperbolic flat space--times
• Prescribing Gauss curvature of surfaces in 3-dimensional spacetimes. Application to the Minkowski problem in the Minkowski space
• Flat spacetimes with compact hyperbolic Cauchy surfaces
• Constant mean curvature foliations of simplicial flat spacetimes
• Valuations, trees, and degenerations of hyperbolic structures. I
• Topologie de Gromov équivariante, structures hyperboliques et arbres réels. (Equivariant Gromov topology, hyperbolic structures, and \({\mathbb{R}}\)-trees)
• The Gromov topology on \({\mathbb{R}}\)-trees
• Lorentz spacetimes of constant curvature
• Geometric group actions on trees
• Canonical Wick rotations in 3-dimensional gravity
• The cosmological time function
• Cosmological time in (2+1)-gravity

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