  We analyze vector meson - vector meson scattering in a unitarized chiral
theory based on a chiral covariant framework. We show that a pole assigned to
the the scalar meson $f_0(1370)$ can be dynamically generated from the
$\rho\rho$ interaction, while this is not the case for the tensor meson
$f_2(1270)$ as found in earlier works. We show that the generation of the
tensor state is untenable due to an artefact of the extreme non-relativistic
kinematics used before. We further consider the effects arising from the
coupling of channels with different orbital angular momenta. We suggest to use
the formalism outlined here to obtain more reliable results for the dynamical
generation of resonances in the vector-vector interaction.
