Aubry-Mather theory and Lipschitz continuity of the time separation

Abstract

We consider Aubry-Mather theory for a subclass of class A spacetimes, i.e. compact vicious spacetimes with globally hyperbolic Abelian cover. In this subclass, called class A_1, we obtain improved results on timelike maximizers and Lipschitz continuity of the time separation of the Abelian cover on the i.g. optimal subsets.

References in corpus (1)

• The causal hierarchy of spacetimes