Valiente Kroon's obstructions to smoothness at infinity
James Grant, Paul Tod
TL;DR
This paper explores Valiente Kroon's obstructions to smoothness at infinity in the context of time-symmetric, conformally-flat initial data, proposing a multipole moment interpretation for these mathematical obstructions.
Contribution
It offers a new interpretation of Valiente Kroon's obstructions using multipole moments, enhancing understanding of smoothness issues at infinity in initial data.
Findings
Obstructions to smoothness are linked to multipole moments.
A conjecture is proposed relating these obstructions to multipole moments.
The interpretation could impact the analysis of initial data in general relativity.
Abstract
We conjecture an interpretation in terms of multipole moments of the obstructions to smoothness at infinity found for time-symmetric, conformally-flat initial data by Valiente Kroon (Comm. Math. Phys. 244 (2004), 133-156).
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