  Upon treating the whole closed string massless sector as stringy graviton
fields, Double Field Theory may evolve into Stringy Gravity, i.e. the stringy
augmentation of General Relativity. Equipped with an $\mathrm{O}(D,D)$
covariant differential geometry beyond Riemann, we spell out the definition of
the Energy-Momentum tensor in Stringy Gravity and derive its on-shell
conservation law from doubled general covariance. Equating it with the recently
identified stringy Einstein curvature tensor, all the equations of motion of
the closed string massless sector are unified into a single expression,
$G_{AB}=8\pi G T_{AB}$, which we dub the `Einstein Double Field Equations'. As
an example, we study the most general ${D=4}$ static, asymptotically flat,
spherically symmetric, `regular' solution, sourced by the stringy
Energy-Momentum tensor which is nontrivial only up to a finite radius from the
center. Outside this radius, the solution matches the known vacuum geometry
which has four constant parameters. We express these as volume integrals of the
interior stringy Energy-Momentum tensor and discuss relevant energy conditions.
