Einstein field equation

English

Alternative forms

• EFE (initialism)

Noun

Einstein field equation (plural Einstein field equations)

1. (relativity) A symmetric 4 × 4 tensor equation in general relativity in which the gravitational force is described as a curvature of spacetime caused by matter and energy.

   The Einstein field equation states that the energy-momentum tensor is directly proportional to the Ricci tensor minus half of the Ricci scalar times the metric tensor plus the cosmological constant times the metric tensor.

Usage notes

• A set of ten scalar equations equivalent to the tensor equation is referred as Einstein field equations.

Translations

tensor equation in general relativity that describes gravitational force as curvature

• Finnish: Einsteinin kenttäyhtälö
• French: Équation de champ d’Einstein
• German: einsteinsche Feldgleichung f, Gravitationsgleichung f
• Japanese: アインシュタイン方程式 (Ainshutain hōteishiki), 重力場の方程式 (jūryokuba no hōteishiki)