论文标题
第四阶后秩序的重力两体系统的能量和散射
Energetics and scattering of gravitational two-body systems at fourth post-Minkowskian order
论文作者
论文摘要
Ligo-Virgo-Kagra合作的即将进行的观察性运行，以及地面和太空中未来的重力波（GW）探测器，要求波形模型比当前可用的更准确。可以通过改进紧凑型二进制动力学的分析描述并使用数值 - 乘积（NR）信息来开发高精度波形模型。在这里，我们通过与NR模拟的圆形轨道结合能和散射角度的NR模拟进行比较，评估了第四次胶后（PM）保守动力学的最新结果的准确性。我们得到的是，下午4点的动力学比下午3点具有更好的NR一致性，而4pm近似为结合轨道的第三次牛顿后（PN）近似值可比的结果可比，但它在散射相遇方面的性能较好。 Furthermore, we incorporate the 4PM results in effective-one-body (EOB) Hamiltonians, which improves the disagreement with NR over the 4PM-expanded Hamiltonian from $\sim 40\%$ to $\sim 10\%$, or $\sim 3\%$ depending on the EOB gauge, for an equal-mass binary, two GW cycles before merger.最后，我们为双曲线轨道推导了一个4PN-EOB Hamiltonian，并将其对NR的散射角度的预测以及用于椭圆轨道计算的4PN-EOB Hamiltonian的散射角度进行了比较。
Upcoming observational runs of the LIGO-Virgo-KAGRA collaboration, and future gravitational-wave (GW) detectors on the ground and in space, require waveform models more accurate than currently available. High-precision waveform models can be developed by improving the analytical description of compact binary dynamics and completing it with numerical-relativity (NR) information. Here, we assess the accuracy of the recent results for the fourth post-Minkowskian (PM) conservative dynamics through comparisons with NR simulations for the circular-orbit binding energy and for the scattering angle. We obtain that the 4PM dynamics gives better agreement with NR than the 3PM dynamics, and that while the 4PM approximation gives comparable results to the third post-Newtonian (PN) approximation for bound orbits, it performs better for scattering encounters. Furthermore, we incorporate the 4PM results in effective-one-body (EOB) Hamiltonians, which improves the disagreement with NR over the 4PM-expanded Hamiltonian from $\sim 40\%$ to $\sim 10\%$, or $\sim 3\%$ depending on the EOB gauge, for an equal-mass binary, two GW cycles before merger. Finally, we derive a 4PN-EOB Hamiltonian for hyperbolic orbits, and compare its predictions for the scattering angle to NR, and to the scattering angle of a 4PN-EOB Hamiltonian computed for elliptic orbits.
