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  1. Non-Relativistic Regime and Topology: Topological Term in the Einstein Equation.Quentin Vigneron - 2024 - Foundations of Physics 54 (1):1-47.
    We study the non-relativistic (NR) limit of relativistic spacetimes in relation with the topology of the Universe. We first show that the NR limit of the Einstein equation is only possible in Euclidean topologies, i.e., for which the covering space is \(\mathbb {E}^3\). We interpret this result as an inconsistency of general relativity in non-Euclidean topologies and propose a modification of that theory which allows for the limit to be performed in any topology. For this, a second reference non-dynamical connection (...)
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  • Energy localization in general relativity: A new hypothesis. [REVIEW]F. I. Cooperstock - 1992 - Foundations of Physics 22 (8):1011-1024.
    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 (...)
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