Novel couplings between nonmetricity and matter
  We present a novel theory of gravity, namely, an extension of symmetric
teleparallel gravity. This is done by introducing a new class of theories where
the nonmetricity $Q$ is coupled nonminimally to the matter Lagrangian. This
nonminimal coupling entails the nonconservation of the energy-momentum tensor,
and consequently the appearance of an extra force. We also present several
cosmological applications.
