In this paper, we study the cosmological dynamics of a 2-form field coupled
to a cold dark matter component in a Bianchi I background. Using a dynamical
system analysis, we show that our model has two attractor solutions
corresponding to late-time accelerated universes. These solutions have an
important distinction between each other: one is isotropic and the other one is
not, i.e. there is a non-zero shear contribution induced by the 2-form field.
Due to the coupling in the dark sector, we also obtain a scaling solution where
the 2-form field behaves as a pressure-less fluid. For a particular set of
parameters and initial conditions, we numerically study the expansion history
of the model. We find that the value of the shear at redshift zero is within
the current observational bounds, which could be a potential alleviation to the
quadrupole anomaly, and that the equation of state of dark energy is exactly
-1.Comment: 12 pages, 7 figure