Detweiler's redshift invariant for spinning particles along circular orbits on a Schwarzschild background
Detweiler's redshift invariant for spinning particles along circular orbits on a Schwarzschild background
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在史瓦西背景下沿圆形轨道旋转粒子的德特韦勒红移不变量
DOI：
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发表时间：
2018
期刊：
影响因子：
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通讯作者：
C. Kavanagh
中科院分区：
文献类型：
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作者：
D. Bini;T. Damour;A. Geralico;C. Kavanagh
我们研究了经典自旋粒子在Schwarzschild背景下沿圆形轨道运动引起的度规微扰，将分析限制在自旋为一阶的影响上。假设粒子在赤道平面上运动，并使其自转与$z$轴对齐。通过使用两种不同的方法来获得度规微扰，即通过在两种不同的规范中工作：Regge-Wheeler规范(使用Regge-Wheeler-Zerilli形式)和辐射规范(使用Teukolsky形式)。然后，我们计算了自旋线对一阶自力的贡献，对Detweeller红移不变量的贡献，直到8.5后牛顿阶数。我们检查我们的结果在两个规范中是相同的，对于规范不变的量是适当的，并与目前已知的3.5后牛顿结果一致。
We study the metric perturbations induced by a classical spinning particle moving along a circular orbit on a Schwarzschild background, limiting the analysis to effects which are first order in spin. The particle is assumed to move on the equatorial plane and has its spin aligned with the $z$-axis. The metric perturbations are obtained by using two different approaches, i.e., by working in two different gauges: the Regge-Wheeler gauge (using the Regge-Wheeler-Zerilli formalism) and a radiation gauge (using the Teukolsky formalism). We then compute the linear-in-spin contribution to the first-order self-force contribution to Detweiler's redshift invariant up to the 8.5 post-Newtonian order. We check that our result is the same in both gauges, as appropriate for a gauge-invariant quantity, and agrees with the currently known 3.5 post-Newtonian results.
影响因子：
5
作者：
S. Akçay;L. Barack;T. Damour;N. Sago
通讯作者：
S. Akçay;L. Barack;T. Damour;N. Sago