Relating a Geroch-like boundary and the abstract boundary constructions for spacetimes
arXiv:1810.09766
Abstract
We construct a Geroch-like boundary (when restricted to geodesic curves, this boundary contains as a subset the Geroch's boundary), which we denote by , and establish an explicit embedding of the boundary into the boundary of Scott and Szekeres. This construction, and subsequently the explicit embedding, is done in a 'natural' way (the emphasis on the word natural here will be clarified in the text), thereby answering in the affirmative the outstanding question as to whether there exists a natural way to relate the and the boundary constructions.
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