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

Non-Relativistic $\tilde{\delta}$ Gravity: A Description of Dark Matter