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 (3)

• The causal hierarchy of spacetimes
• Class A Spacetimes
• Homologically maximizing geodesics in conformally flat tori

Cited by in corpus (2)

• Class A Spacetimes
• Global viscosity solutions for eikonal equations on class A Lorentzian 2-tori