[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).
Disciplines :
Mathématiques
Auteur, co-auteur :
Chen, Qiyu; Sun Yat-Sen University > School of Mathematics
TAMBURELLI, Andrea ; University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit
Co-auteurs externes :
yes
Langue du document :
Anglais
Titre :
Constant mean curvature foliation of globally hyperbolic (2+1)-spacetime with particles
