论文标题
kerr时空中通用轨道的点粒子的自力正规化：电磁和重力案例
Self-force regularization of a point particle for generic orbits in Kerr spacetime: electromagnetic and gravitational cases
论文作者
论文摘要
自我力量是对极端质量比Insprals的波形建模的领先方法，这是ESA未来的基于空间的重力波检测器LISA的关键目标。在对这些系统进行建模时，一个将较小的身体近似为一个点粒子，导致有问题的奇异点需要去除。这种奇异结构的建模已定居在Detweiler-Whiting奇异场上，作为黄金标准。作为处理波浪方程本身的解决方案，它在去除时会留下平滑的固定场，这是对均匀波方程的解决方案，就像其建立良好的扁平时空对应物一样。模式-AM方法可以通过球形谐波分解来通过模式减去这种奇异模式。人们拥有的模式越多，$ \ ell $ sum中的收敛速度就越快，使这些表达式变得非常有益，尤其是考虑到波形生产的沉重计算负担。直到最近，只有两个领先订单以Kerr Spacetime中的通用轨道而闻名。在上一篇论文中，我们在弯曲的时空中生成了一个为标量带电粒子的下一个非零参数，为电磁和重力案例奠定了基础。
The self-force is the leading method in modelling waveforms for extreme mass ratio inspirals, a key target of ESA's future space-based gravitational wave detector LISA. In modelling these systems, one approximates the smaller body as a point particle leading to problematic singularities that need to be removed. Modelling of this singular structure has settled on the Detweiler-Whiting singular field as the gold standard. As a solution to the governing wave equation itself, on removal, it leaves a smooth regular field that is a solution to the homogeneous wave equation, much like its well established flat spacetime counterpart. The mode-sum method enables subtraction of this singularity mode by mode via a spherical harmonic decomposition. The more modes one has, the faster the convergence in the $\ell$-sum, making these expressions highly beneficial, especially considering the heavy computational burden of waveform production. Until recently, only the two leading orders were known for generic orbits in Kerr spacetime. In a previous paper, we produced the next non-zero parameter for a scalar charged particle in curved spacetime, laying the groundwork for the electromagnetic and gravitational case which we present here.
