Reference : Constant mean curvature foliation of globally hyperbolic (2+1)-spacetime with particles
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Physical, chemical, mathematical & earth Sciences : Mathematics
Constant mean curvature foliation of globally hyperbolic (2+1)-spacetime with particles
Chen, Qiyu mailto [Sun Yat-Sen University > School of Mathematics]
Tamburelli, Andrea mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit >]
[en] Lorentzian geometry ; CMC surfaces
[en] 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 π along time-like geodesics).

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