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arXiv · 1705.03674

Constant mean curvature foliation of globally hyperbolic (2+1)-spacetimes with particles

Qiyu Chen·Andrea Tamburelli
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Abstract

Let $M$ be a globally hyperbolic maximal compact $3$-dimensional spacetime locally modelled on Minkowski, anti-de Sitter or de Sitter space. It is well known that $M$ admits a unique foliation by constant mean curvature surfaces. In this paper we extend this result to singular spacetimes with particles (cone singularities of angles less than $\pi$ along time-like geodesics).

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Qiyu Chen, Andrea Tamburelli. 2017-05-10. Constant mean curvature foliation of globally hyperbolic (2+1)-spacetimes with particles. https://arxiv.org/abs/1705.03674

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