Physics — Tensors & General Relativity

G_{\mu\nu} = R_{\mu\nu} - \tfrac{1}{2}g_{\mu\nu}R = \frac{8\pi G}{c^4} T_{\mu\nu}

ds^2 = g_{\mu\nu}\,dx^\mu dx^\nu

A'^{\mu} = \frac{\partial x'^\mu}{\partial x^\nu} A^\nu