The case against smooth null infinity II: A logarithmically modified Price’s Law

In this paper, we expand on results from our previous paper “The case against smooth null infinity I: Heuristics and counterexamples” $\href{https://doi.org/10.1007/s00023-021-01108-2}{[1]}$ by showing that the failure of “peeling” (and, thus, of smooth null infinity) in a neighbourhood of $i^0$ derived therein translates into logarithmic corrections at leading order to the well-known Price’s law asymptotics near $i^+. This suggests that the non-smoothness of $\mathcal{I}^+$ is physically measurable.

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Published 25 March 2024