Which spacetimes admit conformal compactifications?
Olaf M\"uller
TL;DR
This paper investigates the conditions under which certain spacetimes can be extended to include a boundary at infinity through conformal compactifications, using the future causal boundary as a key tool.
Contribution
It introduces a method to identify obstructions to conformal extensions of spacetimes by analyzing the future causal boundary.
Findings
Identifies specific conditions preventing conformal compactifications.
Provides a framework to analyze causal boundaries for spacetime extensions.
Highlights limitations of existing conformal extension techniques.
Abstract
We consider the future causal boundary as a tool to find obstructions to conformal extensions, the latter being a slight generalization to conformal compactifications.
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