notifications

General Relativity

Wikipedia

(1, 1)-tensor t = tiji ⊗ dxj, t(-, v) = tiji ⊗ dxj (vkk) = tij vki ⊗ dxj (∂k) = tij vk δkji = tij vji. g(v, v) = gi, j vi vj = -1. Metric tensor g = gi, j dxi ⊗ dxj. g(-, v) = gi, j dxi ⊗ dxj (vkk) = (gi, j vj) dxi.

Gravity

Wikipedia

References