论文标题
旋转二进制文件中的均等违规：来自动态Chern-Simons重力的黑洞灵感的引力波
Parity Violation in Spin-Precessing Binaries: Gravitational Waves from the Inspiral of Black Holes in Dynamical Chern-Simons Gravity
论文作者
论文摘要
紧凑型二进制中的自旋进液被复杂地调整为基础物体的多极结构。对于黑洞，违反了对一般相对论的修改引起的无头发定理的侵犯，这又构成了二进制发出的引力波的幅度和相位调节的烙印。最近，旋转进液方程在旋转中的二阶派生为动力学的chern-simons重力，这是一种违反了重力理论的奇偶校验。在这里，我们首次解决了这些方程式，并首次构建了使用纽约后尼托尼亚后的重力理论，用于在修改后的重力理论中发出的时间和频域重力波。在小耦合近似中工作并使用多个比例分析，我们表明，对属性阶段的校正以相对的1pn顺序输入，并以相对0pn顺序输入进进角度和托马斯相位的校正。利用固定相近似并移动了均匀的渐近性，我们发现波形的傅立叶阶段的特征是三个修饰，这是两种修饰，这两个是由于进型动力学的后反应到自旋轨道和自旋旋转耦合上，这些耦合在1.5pn and 2pn订单时输入了2pn，以及2pn订单，以及2pn订单的修饰，以及一个2pn的修饰。我们还发现，动力学的后反应迫使DC校正傅立叶振幅以0pn顺序输入，而不是2PN顺序，这是旋转对齐的二进制文件所预期的。我们的作品是第一个在修改后的重力理论中为旋转的二进制文件建立Inspiral-Merger-Ringdown现象学模型的第一个基础石。
Spin precession in compact binaries is intricately tuned to the multipole structure of the underlying bodies. For black holes, violations of the no-hair theorems induced by modifications to general relativity correct the precession dynamics, which in turn imprints onto the amplitude and phase modulations of the gravitational waves emitted by the binary. Recently, the spin precession equations were derived up to second order in spin for dynamical Chern-Simons gravity, a parity violating modified theory of gravity. We here solve these equations and construct, for the first time, analytic expressions for the time- and frequency-domain gravitational waves emitted in the quasi-circular inspiral of spin-precessing black hole binaries in a modified theory of gravity using the post-Newtonian approximation. Working within the small coupling approximation and using multiple scale analysis, we show that the corrections to the nutation phase enter at relative 1PN order, and the corrections to the precession angle and Thomas phase enter at relative 0PN order. Making use of the stationary phase approximation and shifted uniform asymptotics, we find that the Fourier phase of the waveform is characterized by three modifications, two due to the back-reaction of the precession dynamics onto the spin-orbit and spin-spin couplings that enter at 1.5PN and 2PN orders, and a 2PN modification due to the emission of dipole radiation. We also find that back-reaction of the precession dynamics forces the dCS corrections to the Fourier amplitude to enter at 0PN order, as opposed to 2PN order, as expected for spin-aligned binaries. Our work lays the first foundational stones to build an inspiral-merger-ringdown phenomenological model for spin-precessing binaries in a modified theory of gravity.
