Proposed Method of Combining Continuum Mechanics With Einstein Field Equations

The article proposes some improvements to the relativistic continuum mechanics which introduce 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 flat Minkowski spacetime, the vanishing four-divergence of this stress-energy tensor expresses relativistic Cauchy’s momentum equation, leading to the emergence of new force densities which can be further developed and parameterized to obtain known interactions.