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Energy localization in general relativity: A new hypothesis

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Abstract

A new hypothesis for energy localization in general relativity is introduced which is based upon the fact that the energy-momentum conservation laws are devoid of content in vacuum. The vanishing of pseudotensor components forms the basis of coordinate conditions consistent with the above. The implication is that energy is localized where the energy-momentum tensor is nonvanishing. As a consequence, gravitational waves are not carriers of energy in vacuum. A detailed analysis of a Feynman detector interacting with a plane gravitational wave is consistent with the hypothesis. The fact that there has never been a confirmed direct energy transfer to a detector via gravitational radiation is also consistent with the hypothesis.

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Cooperstock, F.I. Energy localization in general relativity: A new hypothesis. Found Phys 22, 1011–1024 (1992). https://doi.org/10.1007/BF00733393

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  • DOI: https://doi.org/10.1007/BF00733393

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