  In this work, I develop an alternative explanation for the acceleration of
the cosmic expansion, which seems to be a result of recent high redshift
Supernova data. In the current interpretation, this cosmic acceleration is
explained by including a positive cosmological constant term (or vacuum
energy), in the standard Friedmann models. Instead, I will consider a Locally
Rotationally Symmetric (LRS) and spherically symmetric (SS), but inhomogeneous
spacetime, with a barotropic perfect fluid equation of state for the cosmic
matter. The congruence of matter has acceleration, shear and expansion. 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. Although in our model the Cosmological
Principle is relaxed, it maintains almost isotropy about our worldline in
agreement with CBR observations.
