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Pseudoenergy, Superenergy, and Energy Radiation via Gravitational Waves in General Relativity

Yury E. Pokrovsky
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Abstract

For slowly spinning matter the rate of energy loss via radiation of gravitational waves is estimated in General Relativity (GR) within a generally covariant superenergy approach. This estimation differs from Einstein's Quadrupole Formula (EQF) by a suppression factor ($Π\ll1$). For a symmetric two-body-like distribution of scalar matter $Π$ is estimated to be $\ll(v/c)^2(r/R)^2$, where $v$ is orbital velocity of the bodies, $c$ - velocity of light, $r$ - radius of each body, and $R$ -- the inter-body distance. This contradiction with EQF is briefly discussed.

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Yury E. Pokrovsky. 2003-05-27. Pseudoenergy, Superenergy, and Energy Radiation via Gravitational Waves in General Relativity. https://arxiv.org/abs/gr-qc/0305100

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