Cauchy-Compact flat spacetimes with BTZ singularities

Léo Brunswic

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arXiv · 1611.08190

Cauchy-Compact flat spacetimes with BTZ singularities

Léo Brunswic

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Abstract

The zoology of singularities for Lorentzian manifold is slightly more complicated than for Riemannian manifolds. Our present work study Cauchy-compact globally hyperbolic singular flat spacetimes with extreme BTZ-like singular lines. We use the notion of BTZ-extension of a singular spacetime introduced in a previous paper to give a description of Moduli spaces of such manifolds in term of common Teichm{\"u}ller spaces. This description is used to construct convex polyhedral cauchy-surface in Cauchy-compact flat spacetimes with BTZ.

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Léo Brunswic. 2016-11-24. Cauchy-Compact flat spacetimes with BTZ singularities. https://arxiv.org/abs/1611.08190

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