Abstract
We present a general family of asymptotic solutions to Einstein's equation which are asymptotically flat but do not satisfy the peeling theorem. Near scri, the Weyl tensor obeys a logarithmic asymptotic flatness condition and has a partial peeling property. The physical significance of this asymptotic behavior arises from a quasi-Newtonian treatment of the radiation from a collapsing dust cloud. Practically all the scri formalism carries over intact to this new version of asymptotic flatness.
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Winicour, J. Logarithmic asymptotic flatness. Found Phys 15, 605–616 (1985). https://doi.org/10.1007/BF01882485
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DOI: https://doi.org/10.1007/BF01882485