Hamilton-Jacobi equation for spinning particles near black holes
Hamilton-Jacobi equation for spinning particles near black holes
复制标题
黑洞附近旋转粒子的汉密尔顿-雅可比方程
DOI：
10.1103/physrevd.100.104030
复制
发表时间：
2019
影响因子：
5
通讯作者：
V. Witzany
中科院分区：
文献类型：
--
作者：
V. Witzany
由于辐射反作用力以及有限尺寸效应，一个致密的恒星质量物体吸入一个巨大的黑洞时会偏离测地线运动。这种后测地线偏差需要以足够的精度包含在即将推出的天基引力波探测器 LISA 的波形模型中。我提出了克尔黑洞附近受到所谓的自旋曲率耦合（主阶有限尺寸效应）扰动的汉密尔顿-雅可比测地线方程的公式和解。作为回报，该解决方案允许计算许多可观测值，例如轨道的转折点以及运动的基本频率。这一结果为 LISA 波形模型提供了必要的成分之一，并对一般的相对论二体问题做出了重要贡献。
A compact stellar-mass object inspiralling onto a massive black hole deviates from geodesic motion due to radiation-reaction forces as well as finite-size effects. Such post-geodesic deviations need to be included with sufficient precision into wave-form models for the upcoming space-based gravitational-wave detector LISA. I present the formulation and solution of the Hamilton-Jacobi equation of geodesics near Kerr black holes perturbed by the so-called spin-curvature coupling, the leading order finite-size effect. In return, this solution allows to compute a number of observables such as the turning points of the orbits as well as the fundamental frequencies of motion. This result provides one of the necessary ingredients for waveform models for LISA and an important contribution useful for the relativistic two-body problem in general.
极端质量比情况下内部结构对试验体运动的影响
影响因子：
5
作者：
J. Steinhoff;D. Puetzfeld
通讯作者：
D. Puetzfeld