  Symmetric teleparallel gravity (STG) is an alternative description of the
gravitational field as an effect of the nonmetricity rather than the curvature
of the spacetime. For an specific choice of the symmetric teleparallel
lagrangian, the STG dynamics is equivalent to the general relativity (GR), and
it is called Symmetric teleparallel equivalent to general relativity (STEGR).
We propose a local Lorentz violating dynamics in the gravitational sector in
the STEGR framework. The Lorentz violation is trigged by the vacuum expectation
value (vev) of the well-known bumblebee field, whose vev couples to the
nonmetricity tensor. The effects of such couplings on the cosmological
evolution is investigated.
