R μ ν − 1 2 g μ ν R + Λ g μ ν = − κ T μ ν {\displaystyle {R_{\mu \nu }}-{\frac {1}{2}}{g^{\mu \nu }}R+\Lambda g_{\mu \nu }=-\kappa {T_{\mu \nu }}}
Λ g μ ν {\displaystyle \Lambda g_{\mu \nu }} ist der kosmologische Term
G μ ν = R μ ν − 1 2 g μ ν R {\displaystyle G_{\mu \nu }={R_{\mu \nu }}-{\frac {1}{2}}{g^{\mu \nu }}R}