  An interesting question is to characterize the general class of allowed
boundary conditions for gauge theories, including gravity, at spatial and null
infinity. This has played a role in discussions of soft charges, where
antipodal symmetry has typically been assumed. However, the existence of
electric and gravitational line operators, arising from gauge-invariant dressed
observables, for example associated to axial or Fefferman-Graham like gauges,
indicates the existence of non-antipodally symmetric initial data. This note
studies aspects of the solutions corresponding to such non-symmetric initial
data. The explicit evolution can be found, via a Green function, and bounds can
be given on the asymptotic behavior of such solutions, evading arguments for
singular behavior. Likewise, objections to such solutions based on infinite
symplectic form are also avoided, although these solutions may be
superselected. Soft charge conservation laws, and their modification, are
briefly examined for such solutions. This discussion strengthens (though is not
necessary for) arguments that soft charges characterize gauge field degrees of
freedom, but not necessarily the degrees of freedom associated to the matter
sourcing the field.
