Beta Phase: Square45 is currently in beta testing. Expect some features or content to be incomplete or missing.

Einstein Field Equations

A set of 10 coupled nonlinear partial differential equations describing the relationship between the geometry of spacetime and the distribution of mass and energy:

G_{ u ho} = 8 ilde{G} u_ u T_ ho ho

📜

The statement of the theorem

The Einstein Field Equations relate the geometry of spacetime (represented by the Einstein tensor

G_{\mu\nu}

) to the distribution of mass and energy (represented by the Stress-Energy Tensor

T_{\mu\nu}

G_{\mu\nu} = \frac{8\pi G}{c^4} T_{\mu\nu}

where

G_{\mu\nu} = R_{\mu\nu} - \frac{1}{2} g_{\mu\nu} R

, and

R_{\mu\nu}

is the Ricci curvature tensor.

Source: Wikipedia