论文标题
基于后沃后近似的新的自搭配有效的一身理论
New self-consistent effective one-body theory for spinless binaries based on the post-Minkowskian approximation
论文作者
论文摘要
Buonanno和Damour引入的有效的一身理论是构建引力波形模板的新方法。通过获得$ψ_{1}^{b} $和$ψ_{3}^{b} $ vanish的量表，我们找到了一个分离的方程式，具有可分离变量的$ψ^{b} _ {b} _ {4} $，以在有效地获得的有效计量中获得的有效计量。此外，我们为无旋转二进制方法建立了一种新的自搭配的有效的一体理论，可以适用于任何后的后订单。该理论不仅释放了$ v/c $应该是少量数量的假设，而且还解决了这样一个矛盾，即哈密顿，放射反应力和波形是由有效的一体理论中的不同物理模型构成的，纽约后纽约后的近似值。与我们以前的理论（Science China，65，260411，（2022））相比，在这种新理论中，辐射反应力和波形的计算工作将大大降低。
The effective one-body theories, introduced by Buonanno and Damour, are novel approaches to constructing a gravitational waveform template. By taking a gauge in which $ψ_{1}^{B}$ and $ψ_{3}^{B}$ vanish, we find a decoupled equation with separable variables for $ψ^{B}_{4}$ for gravitational perturbation in the effective metric obtained in the post-Minkowskian approximation. Furthermore, we set up a new self-consistent effective one-body theory for spinless binaries, which can be applicable to any post-Minkowskian orders. This theory not only releases the assumption that $v/c$ should be a small quantity but also resolves the contradiction that the Hamiltonian, radiation-reaction force, and waveform are constructed from different physical models in the effective one-body theory with the post-Newtonian approximation. Compared with our previous theory (Science China, 65, 260411, (2022)), the computational effort for the radiation-reaction force and waveform in this new theory will be tremendously reduced.
