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arXiv · 1505.04737

Topology of the ambient boundary and the convergence of causal curves

Ignatios Antoniadis·Spiros Cotsakis
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Abstract

We discuss the topological nature of the boundary spacetime, the conformal infinity of the ambient cosmological metric. Due to the existence of a homothetic group, the bounding spacetime must be equipped not with the usual Euclidean metric topology but with the Zeeman fine topology. This then places severe constraints to the convergence of a sequence of causal curves and the extraction of a limit curve, and also to our ability to formulate conditions for singularity formation.

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Ignatios Antoniadis, Spiros Cotsakis. 2015-08-24. Topology of the ambient boundary and the convergence of causal curves. https://doi.org/10.1142/s0217732315501618

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