Field Equations from the Einstein-Hilbert Action

Derivation · draft

Field Equations from the Einstein-Hilbert Action

D-391 Home PU-403 Threads energy · fields · symmetry Depends on Contracted Bianchi Identity and the Einstein Tensor, euler-lagrange-from-stationary-action, Stress-Energy Tensor as the Conserved Source

Statement

Deriving the Einstein field equations by varying the Einstein-Hilbert action with respect to the metric and identifying the stress-energy tensor as its matter-source.

Depends on

Contracted Bianchi Identity and the Einstein Tensor, euler-lagrange-from-stationary-action, Stress-Energy Tensor as the Conserved Source

Used by

PU-403/L11