The Energy of a Dynamical Wave-Emitting System in General Relativity

Abstract

The problem of energy and its localization in general relativity is critically re-examined. The Tolman energy integral for the Eddington spinning rod is analyzed in detail and evaluated apart from a single term. It is shown that a higher order iteration is required to find its value. Details of techniques to solve mathematically challenging problems of motion with powerful computing resources are provided. The next phase of following a system from static to dynamic to final quasi-static state is described.

36 pages, 2 figures, to appear in Foundations of Physics

References in corpus (2)

• Energy and Momentum of a Stationary Beam of Light
• The Role of Energy and a New Approach to Gravitational Waves in General Relativity

Cited by in corpus (4)

• Covariant energy-momentum and an uncertainty principle for general relativity
• The Fully Covariant Energy Momentum Stress Tensor For Gravity and the Einstein Equation in General Relativity
• An observer principle for general relativity
• The Jacobi Curvature Operator in Semi Riemannian Geometry and the Energy Momentum Stress Tensor of the Gravitational Field