  We point out an unusual relationship among a variety of null geodesic
congruences; (a) the generators of ordinary light-cones and (b) certain
(related) shear-free but twisting congruences in Minkowski Space-time as well
as (c) asymptotically shear-free null geodesic congruences that exist in the
neighborhood of Penrose's Scri in Einstein or Einstein-Maxwell asymptotically
flat-space-times. We refer to these geodesic congruences respectively as:
Lignt-Cones (LCs), as Almost-Complex- Light-Cones, (ACLCs), [though they are
real they resemble complex light-cones in complex Minkowski space] and finally
to a family of congruences in asymptotically flat-spaces as `Almost
Light-Cones', (ALC). The two essential points of resemblance among the three
families are: (1) they are all either shear-free or asymptotically shear-free
and (2) in each family the individual members of the family can be labeled by
the points in a real or complex four-dimensional manifold. As an example, the
Minkowski space LCs are labeled by the (real) coordinate value of their apex.
In the case of (ACLCs) (complex coordinate values), the congruences will have
non-vanishing twist whose magnitude is determined by the imaginary part of the
complex coordinate values.
  In studies of gravitational radiation, Bondi-type of null surfaces and their
associated Bondi coordinates have been almost exclusively used for
calculations. Some surprising relations arise if, instead of the Bondi
coordinates, one uses ALCs and their associated coordinate systems in the
analysis of the Einstein-Maxwell equations near Scri. More explicitly and
surprisingly, the asymptotic Bianchi Identities expressed in the coordinates of
the ALCs, turn directly into many of the standard definitions and relations of
classical mechanics.
