论文标题
紧凑型二进制系统的重力波阶段演变中的潮汐效应到近代领先的纽顿后秩序
Tidal effects in the gravitational-wave phase evolution of compact binary systems to next-to-next-to-leading post-Newtonian order
论文作者
论文摘要
我们将重力波（GW）的能量通量计算到无旋转紧凑型二元系统在准圆形轨道上的潮汐效应的近代到领先（NNL）。从有效的事情作用开始，我们获得了系统的应力能量张量，我们在GW代形式上使用的是基于多极杆 - 米科夫斯基（MPM）和牛顿后（PN）（PN）近似值。首先获得了对系统多极矩的潮汐贡献，我们从中将瞬时的GW能量通量推导为NNL顺序（正式为7pn阶）。我们还包括GW尾巴对领先（正式6.5pn）和NL（7.5pn）顺序的剩余潮汐贡献。将其与以前在保守运动方程（EOM）和相关能量方面的工作相结合，我们通过通量释放方程将GW相位和频率演变与相同的NNL顺序相结合。这些结果扩展并完成了文献中的几个先前结果。
We compute the gravitational-wave (GW) energy flux up to the next-to-next-to-leading (NNL) order of tidal effects in a spinless compact binary system on quasi-circular orbits. Starting from an effective matter action, we obtain the stress-energy tensor of the system, which we use in a GW generation formalism based on multipolar-post-Minkowskian (MPM) and post-Newtonian (PN) approximations. The tidal contributions to the multipole moments of the system are first obtained, from which we deduce the instantaneous GW energy flux to NNL order (formally 7PN order). We also include the remaining tidal contributions of GW tails to the leading (formally 6.5PN) and NL (7.5PN) orders. Combining it with our previous work on the conservative equations of motion (EoM) and associated energy, we get the GW phase and frequency evolution through the flux-balance equation to the same NNL order. These results extend and complete several preceding results in the literature.
