论文标题
旋转身体的绝热赤道灵感进入Kerr黑洞
Adiabatic equatorial inspirals of a spinning body into a Kerr black hole
论文作者
论文摘要
未来空间的重力波检测器从极端质量比灵感（EMRI）中检测引力波需要产生准确的足够波形模板。由于不能忽略较小的二级身体的自旋来检测和参数估计EMRIS，因此我们研究了其对EMRI的重力波的影响，并旋转次级。我们专注于Kerr Black Hole周围的通用偏僻赤道轨道。为了建模旋转的辅助对象，我们在杆偶极子近似中使用Mathisson-PapaPetrou-Dixon方程。此外，我们在旋转的轨道变量和来自相应轨道的重力波通量中线性化。我们通过在频域中使用Teukolsky形式主义来获得这些通量。我们得出了旋转引起的校正的演化方程，以使灵感的绝热演化。最后，通过它们的数值整合，我们发现了旋转和非蜘蛛体的灵感之间的重力波相移。
The detection of gravitational waves from Extreme mass Ratio Inspirals (EMRIs) by the future space-based gravitational-wave detectors demands the generation of accurate enough waveform templates. Since the spin of the smaller secondary body cannot be neglected for the detection and parameter estimation of EMRIs, we study its influence on the phase of the gravitational waves from EMRIs with spinning secondary. We focus on generic eccentric equatorial orbits around a Kerr black hole. To model the spinning secondary object, we use the Mathisson-Papapetrou-Dixon equations in the pole-dipole approximation. Furthermore, we linearize in spin the orbital variables and the gravitational-wave fluxes from the respective orbits. We obtain these fluxes by using the Teukolsky formalism in the frequency domain. We derive the evolution equations for the spin induced corrections to the adiabatic evolution of an inspiral. Finally, through their numerical integration we find the gravitational-wave phase shift between an inspiral of a spinning and a non-spinnig body.
