  The acceleration of the cosmic expansion has been discovered as a consequence
of redshift Supernovae data. In the usual way, this cosmic acceleration is
explained by the presence of a positive cosmological constant or quantum vacuum
energy, in the background of standard Friedmann models. Recently, looking for
an alternative explanation, I have considered an inhomogeneous barotropic
spherically symmetric spacetime. Obviously, in this inhomogeneous model the
philosophical cosmological principle is not verified. Within this framework,
the kinematical acceleration of the cosmic fluid or, equivalently, the
inhomogeneity of matter, is just the responsible of the SNe Ia measured cosmic
acceleration. Moreover, this model gives rise to a generalized Hubble law with
two anisotropic terms (dipole acceleration and quadrupole shear), besides the
expansion one. The dipole term of this generalized Hubble law could explain, in
a cosmological setting, the observed large scale flow of matter, without to
have recourse to peculiar velocity-type newtonian models which assume a Doppler
dipole.
