Spacetime coverings and the casual boundary

作者：Alberto Ake Luis; Herrera Jonatan

来源：The Journal of High Energy Physics, 2017, 2017(4): 051.

DOI：10.1007/JHEP04(2017)051

• Classical Theories of Gravity
• Differential and Algebraic Geometry
• Discrete Symmetries
• AdS-CFT Correspondence

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.

• 出版日期2017-4-10