- Cooperstock's Energy Localization Hypothesis
A proposal by
Fred Cooperstock that ingeneral relativity , energy only exists in regions of non-vanishingenergy-momentum tensor [ F.I. Cooperstock, Found. Phys. 22, 1011 (1992)] .Since the creation of
general relativity there have been questions about the energy of gravitational fields. Among the proposals for the energy are theLandau-Lifshitz pseudotensor ,Einstein pseudotensor , and theMoller energy .In Misner, Thorne & Wheeler [Misner, Charles; Thorne, Kip S. & Wheeler, John Archibald (1973). Gravitation. San Francisco: W. H. Freeman. ISBN 0-7167-0344-0.] the authors claimed that energy can only be localized for spherical system, which Cooperstock & Sarracino [F.I. Cooperstock and R.S. Sarracino, J. Phys. A11, 877 (1978)] demonstrated implies that energy must be localized for all system, while Bondi [H. Bondi, Proc. R. Soc. London A427,249 (1990)] argued that non-localizable energy is not allowed in general relativity.
The energy localization hypothesis has also been proven for a number of specific examples (see for example Ref [S.S. Xulu, Mod. Phys. Lett. A15, 1511 (2000); Int. J. Mod. Phys. A15, 4849 (2000)] ), but has not been proven or disproven in general.
Feynman's
sticky bead argument shows that energy is transported bygravitational wave s, which is difficult to make compatible with the Cooperstock's hypothesis.References
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