Spacetime coverings and the casual boundary

• Main Authors: Luis Alberto Aké, Jónatan Herrera
• Format: Article
• Language: English
• Published: SpringerOpen 2017-04-01
• Series: Journal of High Energy Physics
• Subjects: Classical Theories of Gravity; Differential and Algebraic Geometry; Discrete Symmetries; AdS-CFT Correspondence
• Online Access: http://link.springer.com/article/10.1007/JHEP04(2017)051

Abstract We consider the relation between the c-completion of a Lorentz manifold V and its quotient M = V/G, where G is an isometry group acting freely and properly discontinuously. First, we consider the future causal completion case, characterizing virtually when such a quotient is well behaved with the future chronological topology and improving the existing results on the literature. Secondly, we show that under some general assumptions, there exists a homeomorphism and chronological isomorphism between both, the c-completion of M and some adequate quotient of the c-completion of V defined by G. Our results are optimal, as we show in several examples. Finally, we give a practical application by considering isometric actions over Robertson-Walker spacetimes, including in particular the Anti-de Sitter model.