  The article proposes an amendment to the relativistic continuum mechanics
which introduces the relationship between density tensors and the curvature of
spacetime. The resulting formulation of a symmetric stress-energy tensor for a
system with an electromagnetic field, leads to the solution of Einstein Field
Equations indicating a relationship between the electromagnetic field tensor
and the metric tensor. In this EFE solution, the cosmological constant is
related to the invariant of the electromagnetic field tensor, and additional
pulls appear, dependent on the vacuum energy contained in the system. In flat
Minkowski spacetime, the vanishing four-divergence of the proposed
stress-energy tensor expresses relativistic Cauchy's momentum equation, leading
to the emergence of force densities which can be developed and parameterized to
obtain known interactions. Transformation equations were also obtained between
spacetime with fields and forces, and a curved spacetime reproducing the motion
resulting from the fields under consideration, which allows for the extension
of the solution with new fields.
