# Energy continuity equation

by Phrak
Tags: continuity, energy, equation
 Mentor P: 17,306 Yes, the continuity equation: $$\nabla_{\nu}T^{\mu\nu}=0$$ This expresses the conservation of energy and momentum locally in curved spacetime and globally in flat spacetime.
 Quote by DaleSpam Yes, the continuity equation: $$\nabla_{\nu}T^{\mu\nu}=0$$ This expresses the conservation of energy and momentum locally in curved spacetime and globally in flat spacetime.