Causal and conformal structures of globally hyperbolic spacetimes

Abstract

The group of conformal diffeomorphisms and the group of causal automorphisms on two-dimensional globally hyperbolic spacetimes are clarified. It is shown that if spacetimes have non-compact Cauchy surfaces, then the groups are subgroups of that of two-dimensional Minkowski spacetime, and if spacetimes have compact Cauchy surfaces, then the groups are subgroups of that of two-dimensional Einstein's static universe.

References in corpus (3)

• On smooth Cauchy hypersurfaces and Geroch's splitting theorem
• Linking and causality in globally hyperbolic spacetimes
• The group of causal automorphisms