 Einstein field equations

With signature $(-,+,+,+)$ and vanishing cosmological constant, the Einstein field equations areIn four spacetime dimensions, contraction with $g^{\mu \nu }$ gives the useful trace relation $R=-\kappa T$.

The Einstein field equations (EFE) are a set of ten interrelated differential equations in the framework of general relativity, proposed by Albert Einstein in 1915. They describe how matter and energy in the universe influence the curvature of spacetime, which is perceived as gravity.