Beta Phase: Square45 is currently in beta testing. Expect some features or content to be incomplete or missing.
45

Conservation of Energy-Momentum

This law is expressed mathematically through the conservation of energy-momentum tensor.
📜

The statement of the theorem

For a system described by the stress-energy tensor TμνT_{\mu\nu}, the local conservation of energy and momentum is expressed by the covariant divergence equation:\n∇μTμν=0\nabla_{\mu} T^{\mu\nu} = 0 \nWhere ∇μ\nabla_{\mu} is the covariant derivative associated with the metric gμνg_{\mu\nu}. This equation ensures that the total energy-momentum remains constant in spacetime.