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arXiv 2406.04878gr-qchep-th
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双星系统的第四阶后闵可夫斯基局部时间守恒动力学

Fourth Post-Minkowskian Local-in-Time Conservative Dynamics of Binary Systems

Donato Bini, Thibault Damour

AI总结:

本文计算了双星系统在第四阶后闵可夫斯基阶、速度第三十阶下的纯局部时间守恒动力学,并通过在壳作用量和有效单体哈密顿量两种方式给出其规范不变内容。

摘要:

我们计算了引力相互作用双体系统在第四阶后闵可夫斯基阶、速度第三十阶下的纯局部时间(无标度且无对数)守恒动力学部分。该第四阶后闵可夫斯基局部动力学的规范不变内容以两种方式给出:(i)其对在壳作用量的贡献(适用于类双曲运动和类椭圆运动);(ii)其对有效单体哈密顿量(能量规范)的贡献。我们的计算利用了Tutti Frutti方法[Phys. Rev. Lett. 123, no.23, 231104 (2019)],以及近期后闵可夫斯基进展[Phys. Rev. Lett. 128, no.16, 161103 (2022)]、[Phys. Rev. Lett. 128, no.16, 161104 (2022)]和[Phys. Rev. Lett. 132, no.22, 221401 (2024)]。

英文摘要:

We compute the purely local-in-time (scale-free and logarithm-free) part of the conservative dynamics of gravitationally interacting two-body systems at the fourth post-Minkowskian order, and at the thirtiest order in velocity. The gauge-invariant content of this fourth post-Minkowskian local dynamics is given in two ways: (i) its contribution to the on-shell action (for both hyperboliclike and ellipticlike motions); and (ii) its contribution to the Effective One Body Hamiltonian (in energy gauge). Our computation capitalizes on the Tutti Frutti approach [Phys. Rev. Lett. \textbf{123}, no.23, 231104 (2019)], and on recent post-Minkowskian advances [Phys. Rev. Lett. \textbf{128}, no.16, 161103 (2022)], [Phys. Rev. Lett. \textbf{128}, no.16, 161104 (2022)], and [Phys. Rev. Lett. \textbf{132}, no.22, 221401 (2024)].

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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