Causal and conformal structures of two-dimensional globally hyperbolic spacetimes

JOURNAL OF GEOMETRY AND PHYSICS

卷:96

Article

Kim, Do-Hyung

关键词: Conformal transformation;    Conformal structure;    Causal structure;    Causality;    Cauchy surface;    Global hyperbolicity;   

DOI  :  10.1016/j.geomphys.2015.06.015

来源: Elsevier

【 摘 要 】

The group of conformal diffeomorphisms and the group of causal automorphisms on two-dimensional globally hyperbolic spacetimes are clarified. It is shown that if two-dimensional spacetimes have non-compact Cauchy surfaces, then the groups are subgroups of that of two-dimensional Minkowski spacetime, and if two-dimensional spacetimes have compact Cauchy surfaces, then the groups are subgroups of that of two-dimensional Einstein's static universe. Also, the groups of such spacetimes are explicitly calculated by use of universal covering spaces. (C) 2015 Elsevier B.V. All rights reserved.

【 授权许可】

Free