The Einstein equation and the energy density of the gravitational field

Abstract

We give a derivation of the Einstein equation for gravity which employs a definition of the local energy density of the gravitational field as a symmetric second rank tensor whose value for each observer gives the trace of the spatial part of the energy-stress tensor as seen by that observer. We give a physical motivation for this choice using light pressure.

Cited by in corpus (4)

• The Fully Covariant Energy Momentum Stress Tensor For Gravity and the Einstein Equation in General Relativity
• An observer principle for general relativity
• The structure of local gravity theories
• The Jacobi Curvature Operator in Semi Riemannian Geometry and the Energy Momentum Stress Tensor of the Gravitational Field