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Energy–Momentum Tensor in the Relativistic Theory of Gravity

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It has been shown that the following modification of the symmetric (Gilbert) total energy–momentum tensor (EMT) density $${t^{\mu v}} \to {t^{\mu v}} - \frac{{{m^2}}}{{16\pi G}}{\tilde \varphi ^{\mu v}}$$ leads to… Click to show full abstract

It has been shown that the following modification of the symmetric (Gilbert) total energy–momentum tensor (EMT) density $${t^{\mu v}} \to {t^{\mu v}} - \frac{{{m^2}}}{{16\pi G}}{\tilde \varphi ^{\mu v}}$$ leads to incorrect results in basic energetic calculations. It is pointed out that some attempts to prove the positive definiteness of the gravitational radiation flux in the RTG are based on the nonconservative energy–momentum tensor.

Keywords: energy momentum; momentum tensor; tensor relativistic

Journal Title: Physics of Particles and Nuclei Letters
Year Published: 2018

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