  Observing the list of compatible second order equations of Absolute
Parallelism (AP) found by Einstein and Mayer (they used D=4), we choose the
one-parameter class of equations which take on a 3-linear form (when
contra-frame density of some weight is in use). Spherically symmetric solutions
to these equations are considered, and we try not to add any delta-sources (ie,
$\delta(x)$-sources of unknown nature) during integrations allowed due to this
high symmetry.
  Using two different ways to fix the radius and time, we have found that only
non-static solutions (except for trivial one, of course) are possible. If D=5,
such solutions, looking like a single wave moving along the radius, could serve
as an expanding cosmological model (with a simple Hubble diagram).
  With one coordinate choice (gauge), a single second order equation remains
and there exist spherically symmetric solutions with arising singularities. On
the other hand, a more reasonable (covariant) choice of the radius and time
reduces the problem to a system of two first order equations looking like
Chaplygin gas dynamics, where solutions are seemingly free of emerging
singularities and gradient catastrophe.
