Does a dynamical system lose energy by emitting gravitational waves?

Abstract

We note that Eddington's radiation damping calculation of a spinning rod fails to account for the complete mass integral as given by Tolman. The missing stress contributions precisely cancel the standard rate given by the 'quadrupole formula'. This indicates that while the usual 'kinetic' term can properly account for dynamical changes in the source, the actual mass is conserved. Hence gravity waves are not carriers of energy in vacuum. This supports the hypothesis that energy including the gravitational contribution is confined to regions of non-vanishing energy-momentum tensor $T_{ik}$. PACS numbers: 04.20.Cv, 04.30.-w

Published in Modern Physics Letters A vol 14, no 23, 1531, 1999 Full text available in the journal

Cited by in corpus (18)

• Møller Energy for the Kerr-Newman metric
• Møller energy of the nonstatic spherically symmetric metrics
• Energy Distribution of a Charged Regular Black Hole
• Energy and Momentum of a Stationary Beam of Light
• Energy Distribution of a Stationary Beam of Light
• The Role of Energy and a New Approach to Gravitational Waves in General Relativity
• The Energy of the Gamma Metric in the Møller Prescription
• Energy Distribution of a Gödel-Type Space-Time
• Energy distribution of the Einstein-Klein-Gordon system for a static spherically symmetric spacetime in (2+1)-dimensions
• On the energy of Hořava-Lifshitz black holes
• Nonlinear Gravitational Waves: Their Form and Effects
• Energy-Momentum of a regular MMaS-class black hole
• On the energy transported by exact plane gravitational-wave solutions
• Møller Energy-Momentum Complex of a Static Axially Symmetric Vacuum Space-Time
• The Nonlinear Essence of Gravitational Waves
• Energy Distribution for Non-commutative Radiating Schwarzschild Black Holes
• Electric and Magnetic Black Hole Solutions of Moller's Four-Momentum
• Energy-Momentum Localization for a Space-Time Geometry Exterior to a Black Hole in the Brane World