论文标题

麦诺科斯基后扩张中的潮汐效应

Tidal Effects in the Post-Minkowskian Expansion

论文作者

Cheung, Clifford, Solon, Mikhail P.

论文摘要

最近已经重新使用了散射幅度和有效田间理论的工具,以在后 - 科沃斯基扩张中获得黑洞二元灵感的最新结果。在目前的工作中,我们扩展了这种方法,以包括质量和当前四倍对非旋转中子星星合并的保守动力学的潮汐效应。我们首先计算出领先者,并首次计算出近距离的序列后,后者有限的大小对保守的哈密顿式校正,以及它们相关的散射幅度和散射角度。我们的表达式是规格不变的,并且在极端的质量比极限上,与施瓦茨柴尔德背景中潮汐变形的测试体的动力学一致。此外,他们完全同意领先的后昆科斯基和第二次纽顿后命令的现有结果。

Tools from scattering amplitudes and effective field theory have recently been repurposed to derive state-of-the-art results for the black hole binary inspiral in the post-Minkowskian expansion. In the present work we extend this approach to include the tidal effects of mass and current quadrupoles on the conservative dynamics of non-spinning neutron star mergers. We compute the leading and, for the first time, next-to-leading order post-Minkowskian finite size corrections to the conservative Hamiltonian, together with their associated scattering amplitudes and scattering angles. Our expressions are gauge invariant and, in the extreme mass ratio limit, consistent with the dynamics of a tidally deformed test body in a Schwarzschild background. Furthermore, they agree completely with existing results at leading post-Minkowskian and second post-Newtonian orders.

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