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.
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Aké, L.A., Herrera, J. Spacetime coverings and the casual boundary. J. High Energ. Phys. 2017, 51 (2017). https://doi.org/10.1007/JHEP04(2017)051
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DOI: https://doi.org/10.1007/JHEP04(2017)051