Abstract
We analyze the appearance of logarithmic terms at the critical sets of Friedrich’s cylinder representation of spatial infinity. It is shown that if the radiation field vanishes at all orders at the critical sets, no logarithmic terms are produced in the formal expansions. Conversely, it is proved that, under the additional hypothesis that the spacetime has constant (ADM) mass aspect and vanishing dual (ADM) mass aspect [by which we mean the limit of the Bondi (dual) mass aspect on ℐ to the critical set], this condition is also necessary for a spacetime to admit a smooth conformal representation at the critical sets.
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