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arXiv · 2203.10872

Third post-Newtonian gravitational radiation from two-body scattering II. Hereditary Energy radiation

Gihyuk Cho
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Abstract

We compute the hereditary part of the third post-Newtonian accurate gravitational energy radiation from hyperbolic scatterings (and parabolic scatterings) of non-spinning compact objects. We employ large angular momentum ($j$) expansion, and compute it to the relative $1/j^{11}$ order (so the first 12 terms). For parabolic scattering case, the exact solution is computed. At the end, the completely collected expression of the energy radiation upto the third post-Newtonian and from $1/j^{3}$ to $1/j^{15}$ order, is presented including the instantaneous contribution.

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Gihyuk Cho. 2022-03-21. Third post-Newtonian gravitational radiation from two-body scattering II. Hereditary Energy radiation. https://doi.org/10.1103/physrevd.105.104035

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