Can the cosmological constant be mimicked by smooth large-scale
  inhomogeneities for more than one observable?
  As an alternative to dark energy it has been suggested that we may be at the
center of an inhomogeneous isotropic universe described by a
Lemaitre-Tolman-Bondi (LTB) solution of Einstein's field equations. In order to
test such an hypothesis we calculate the low redshift expansion of the
luminosity distance $D_L(z)$ and the redshift spherical shell mass density
$mn(z)$ for a central observer in a LTB space without cosmological constant and
show how they cannot fit the observations implied by a $\Lambda CDM $ model if
the conditions to avoid a weak central singularity are imposed, i.e. if the
matter distribution is smooth everywhere. Our conclusions are valid for any
value of the cosmological constant, not only for $\Omega_{\Lambda}>1/3$ as
implied by previous proofs that $q^{app}_0$ has to be positive in a smooth LTB
space, based on considering only the luminosity distance.
  The observational signatures of smooth LTB matter dominated models are
fundamentally different from the ones of $\Lambda CDM $ models not only because
it is not possible to reproduce a negative apparent central deceleration
$q^{app}_0$, but because of deeper differences in their space-time geometry
which make impossible the inversion problem when more than one observable is
considered, and emerge at any redshift, not only for $z=0$.
