  $\tilde{\delta}$ Gravity is a gravitational field model, where the geometry
is governed by two symmetric tensors, $g_{\mu \nu}$ and $\tilde{g}_{\mu \nu}$,
and new matter fields ($\tilde{\delta}$ Matter fields) are added to the
original matter fields. These new components appear motivated by a new
symmetry, called $\tilde{\delta}$ symmetry. In previous works, the model is
used to explain the expansion of the Universe without Dark Energy. This result
and the additional contribution to the mass by $\tilde{\delta}$ Matter are
motivations to study the Dark Matter effect with $\tilde{\delta}$ Gravity. In
this work, we will derive the Non-Relativistic limit to obtain a correction to
the rotation velocity in a galaxy, then we will analyze the most common galaxy
density profiles to describe Dark Matter.
