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

Chen, Qiyu; Tamburelli, Andrea

doi:10.1007/s10711-018-0393-7

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

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Chen, Qiyu
Max Planck Institute for Mathematics, Max Planck Society;

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https://doi.org/10.1007/s10711-018-0393-7
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Citation

Chen, Q., & Tamburelli, A. (2019). Constant mean curvature foliation of globally hyperbolic (2 + 1)-spacetimes with particles. Geometriae Dedicata, 201(1), 281-315. doi:10.1007/s10711-018-0393-7.

Cite as: https://hdl.handle.net/21.11116/0000-0004-8370-9

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).