论文标题
二进制动力学在北牛顿后第五和五分之五
Binary dynamics at the fifth and fifth-and-a-half post-Newtonian orders
论文作者
论文摘要
Using the new methodology introduced in a recent Letter [Phys.\ Rev.\ Lett.\ {\bf 123}, 231104 (2019)], we present the details of the computation of the conservative dynamics of gravitationally interacting binary systems at the fifth post-Newtonian (5PN) level, together with its extension at the fifth-and-a-half post-Newtonian (5.5PN) level.我们还提出了第六次牛顿后（6pn）对第三阶段 - 山科斯基（3pm）动力学的贡献。我们的策略结合了几种理论形式主义：牛顿后，后 - 康科斯基，多极 - 彼得 - 金斯基，重力自我力量，有效的一体体和Delaunay平均。我们确定了5PN哈密顿量的完整功能结构（涉及95个非零数值系数），除两个与对称质量比的数字成正比的两个未定的系数，以及重力的第五和第六功率，重力常数的第五和第六功率，$ g $。我们不仅提出了5pn精确的，下午3点对散射角度的贡献，还提出其6pn精确的概括。这两种结果都与Bern等人最近下午3点结果的相应截断一致。 [Phys。\ Rev. \ Lett。\ {\ Bf 122}，201603（2019）]。我们还计算了5pn精确的，第四杆 - 米科夫斯基（4pm）对散射角度的贡献，包括其非局部贡献，从而为未来的4pm计算提供了检查。我们指出了径向不变的功能关系与有效的一体能量和角动量之间的显着隐藏的简单性。
Using the new methodology introduced in a recent Letter [Phys.\ Rev.\ Lett.\ {\bf 123}, 231104 (2019)], we present the details of the computation of the conservative dynamics of gravitationally interacting binary systems at the fifth post-Newtonian (5PN) level, together with its extension at the fifth-and-a-half post-Newtonian (5.5PN) level. We present also the sixth post-Newtonian (6PN) contribution to the third-post-Minkowskian (3PM) dynamics. Our strategy combines several theoretical formalisms: post-Newtonian, post-Minkowskian, multipolar-post-Minkowskian, gravitational self-force, effective one-body, and Delaunay averaging. We determine the full functional structure of the 5PN Hamiltonian (which involves 95 non-zero numerical coefficients), except for two undetermined coefficients proportional to the cube of the symmetric mass ratio, and to the fifth and sixth power of the gravitational constant, $G$. We present not only the 5PN-accurate, 3PM contribution to the scattering angle, but also its 6PN-accurate generalization. Both results agree with the corresponding truncations of the recent 3PM result of Bern et al. [Phys.\ Rev.\ Lett.\ {\bf 122}, 201603 (2019)]. We also compute the 5PN-accurate, fourth-post-Minkowskian (4PM) contribution to the scattering angle, including its nonlocal contribution, thereby offering checks for future 4PM calculations. We point out a remarkable hidden simplicity of the gauge-invariant functional relation between the radial action and the effective-one-body energy and angular momentum.
