  $\tilde{\delta}$ 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 and use
$\tilde{\delta}$ Matter as a source of Dark Matter. In this paper, we will
developed an initial study of Schwarzschild geometry in $\tilde{\delta}$
Gravity to complement the Dark Matter analysis and introduce other phenomena.
We will get a modified deflection of light produced by the sun, the perihelion
precession and black hole solution.
