Does a dynamical system lose energy by emitting gravitational waves?
F.I. Cooperstock
TL;DR
This paper challenges the conventional view that gravitational waves carry energy away from a system, showing that when considering complete mass contributions, the energy remains confined and is not emitted as gravitational radiation.
Contribution
It demonstrates that accounting for all stress contributions cancels the expected energy loss, suggesting gravitational waves do not carry energy in vacuum.
Findings
Mass integral completeness cancels the quadrupole formula rate.
Energy is confined to regions with non-zero energy-momentum tensor.
Gravitational waves do not carry energy away in vacuum.
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 . PACS numbers: 04.20.Cv, 04.30.-w
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