Abstract
We calculate the off--center observational relations in a spherically
symmetric dust universe that is inhomogeneous at small redshifts. In contrast
to the usual model, in which the CMBR dipole is interpreted as a Doppler effect
due to peculiar velocity, our model explores an alternative interpretation, in
which the CMBR dipole is non--Doppler, and the observer is comoving with the
mean matter flow. We do not assume a background frame relative to which
peculiar velocities are calculated. Our analysis is fully nonlinear and the
density contrast is not assumed to be small. We obtain exact expressions for
the Hubble and deceleration parameters, and find that both parameters have
quadrupole anisotropies, but no dipoles. A simple numerical procedure for
calculating the CMBR dipole anisotropy in our model is presented, and the
observed 0.1% dipole is shown to be reproducible with a reasonable choices of
parameters.
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