论文标题
在动态切尔 - 西蒙斯重力中，二进制黑洞灵感的引力波形和极化：从一代到传播
Gravitational Waveform and Polarization from Binary Black Hole Inspiral in Dynamical Chern-Simons Gravity: From Generation to Propagation
论文作者
论文摘要
我们计算动态Chern-Simons（DCS）重力中旋转黑洞（BHS）二进制辐射的重力波形。旋转二进制BHS的运动方程（EOM）是基于修饰的旋转圆形轨道的修饰的Mathisson-Papapetrou-Dixon方程得出的。 DCS理论引起的领先效应包含自旋旋转相互作用和单极 - 四极相互作用，这些相互作用既影响二元系统的EOM，又在第二个纽约后（PN）阶（即2pn order）处影响二元系统的EOM和相应的重力波形。报告波形后，我们研究了DCS理论中引力波（GWS）的极化模式。直到被考虑的PN顺序，该理论中没有任何额外的模式出现。此外，由于二进制合并的时间尺度远小于宇宙学扩展的时间尺度，因此在GW生成过程中，DCS理论的均衡竞争效应并未出现。但是，在GW传播过程中，振幅双折射（一种典型的平价侵略效果）使加号和横式模式相互转换，从而以1.5pn顺序修改了重力波形。
We calculate the gravitational waveform radiated from spinning black holes (BHs) binary in dynamical Chern-Simons (dCS) gravity. The equation of motion (EOM) of the spinining binary BHs is derived based on the modified Mathisson-Papapetrou-Dixon equation for the spin-aligned circular orbits. The leading-order effects induced by the dCS theory contains spin-spin interaction and monopole-quadrupole interaction, which influence both the EOM of the binary system and corresponding gravitational waveform at the second post-Newtonian (PN) order (i.e., 2PN order). After reporting the waveforms, we investigate the polarization modes of gravitational waves (GWs) in dCS theory. None of the extra modes appears in this theory up to the considered PN order. Moreover, since the time scale of the binary merger is much smaller than that of the cosmological expansion, the parity-violating effect of the dCS theory does not appear in the process of GW generation. However, during the process of GW propagation, amplitude birefringence, a typical parity-violating effect, makes plus and cross modes convert to each other, which modifies the gravitational waveform at 1.5PN order.
