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A critical inquiry into the objection of Møller to his energy-momentum complex

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Abstract

In the year 1958 Møller derived an energy-momentum complex to attain the localizability of the energy in gravitational fields. However, three years later after extensive investigations he himself raised an objection to his expression showing that the corresponding energy-momentum vector of a closed physical system does not transform like a free 4-vector with respect to a Lorentz transformation. An inquiry into the objection of Møller is carried through at full length. Surprisingly it turns out that the equation on which he based his objection originates from a misinterpretation. Moreover, the argument given by him to explain the alleged failure of his expression proves to be incomplete. Complementing the argument, the objection of Møller is no longer tenable.

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Kovacs, D. A critical inquiry into the objection of Møller to his energy-momentum complex. Gen Relat Gravit 17, 927–938 (1985). https://doi.org/10.1007/BF00773830

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