Conformally reducible 1+3 spacetimes
Jaume Carot, Aidan J Keane, Brian O J Tupper
TL;DR
This paper classifies spacetimes conformally related to reducible 1+3 spacetimes, providing canonical forms and conformal symmetries, with examples illustrating their physical relevance.
Contribution
It offers a systematic classification of conformally reducible 1+3 spacetimes based on their conformal algebra, including explicit metric forms and conformal Killing vectors.
Findings
Canonical metric expressions for each conformal class
Explicit conformal Killing vectors derived
Physically meaningful examples provided
Abstract
Spacetimes which are conformally related to reducible 1+3 spacetimes are considered. We classify these spacetimes according to the conformal algebra of the underlying reducible spacetime, giving in each case canonical expressions for the metric and conformal Killing vectors, and provide physically meaningful examples.
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