  In this work we study slow-roll inflation for a vector-tensor model with
massive vector fields non-minimally coupled to gravity. The model under
consideration has arbitrary parameters for each geometrical coupling. Taking
into account a spatially flat FRW type universe and a general vector fields
(with temporal and spatial components), we get the general expressions for
equation of motion and the total energy momentum tensor. In this scenario, the
isotropy of expansion is guaranteed considering a triplet of orthogonal vector
fields, but the effective mass of the vector field is of the order of the
Hubble scale and the inflationary regime is difficult to realize with this
model. However, for suitable values (or constraints) of model parameters, it is
possible to overcome this issue. In this sense, two cases were analyzed. In the
first case, a regime with slow-roll inflation was obtained, and for the second
case the vector field behaves as a constant, and it drives a quasi de Sitter
expansion, hence that slow-roll takes place and inflation occurs.
