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  • $\begingroup$ It would seem a confusing usage of the term if "asymptotically flat" spacetime did not tend to zero curvature at infinity. There may, of course, be some additional technical conditions. $\endgroup$
    – gandalf61
    Commented Jul 5 at 16:17
  • $\begingroup$ The title of the question mentions conformally-flat but the body speaks only about asymptotically flat. $\endgroup$
    – A.V.S.
    Commented Jul 6 at 4:02
  • $\begingroup$ Thank you for the comments, I updated the question. $\endgroup$
    – AmnonJW
    Commented Jul 6 at 17:24