论文标题
引力自旋轨道和对齐的旋转$ _1 $ -SPIN $ _2 $联轴器通过第三次出版的纽顿订单
Gravitational spin-orbit and aligned spin$_1$-spin$_2$ couplings through third-subleading post-Newtonian orders
论文作者
论文摘要
对散射相遇的研究继续为一般相对论的两体问题提供新的见解。对于未绑定和绑定的轨道而言，对齐的旋转二进制的局部保守动力是在仪表不变的散射 - 角函数中完全编码的，该功能最自然地以后胶后（PM）的扩展表达，并且对两种身体的质量表现出非常简单的依赖性（在适当的几个几个几体的质量上）。这种依赖性将PM和小质量比率近似连接起来，从而使重力自我力量结果确定新的牛顿后（PN）信息与质量比的所有顺序。在本文中，我们利用了相对论散射和自力学理论之间的这种相互作用，以获取通用自旋的第三次出版（4.5pn）自旋 - 轨道动力学，以及第三个出版（5pn）spin $ _1 $ -SPIN-SPIN $ -SPIN $ _2 $ _2 $ _2 $动力学的动力学。我们进一步实施了这些新型PN导致一个有效的体型框架，并通过比较数值余量模拟来证明准确性的提高。
The study of scattering encounters continues to provide new insights into the general relativistic two-body problem. The local-in-time conservative dynamics of an aligned-spin binary, for both unbound and bound orbits, is fully encoded in the gauge-invariant scattering-angle function, which is most naturally expressed in a post-Minkowskian (PM) expansion, and which exhibits a remarkably simple dependence on the masses of the two bodies (in terms of appropriate geometric variables). This dependence links the PM and small-mass-ratio approximations, allowing gravitational self-force results to determine new post-Newtonian (PN) information to all orders in the mass ratio. In this paper, we exploit this interplay between relativistic scattering and self-force theory to obtain the third-subleading (4.5PN) spin-orbit dynamics for generic spins, and the third-subleading (5PN) spin$_1$-spin$_2$ dynamics for aligned spins. We further implement these novel PN results in an effective-one-body framework, and demonstrate the improvement in accuracy by comparing against numerical-relativity simulations.
