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Self-force effects in post-Minkowskian scattering
Classical and Quantum Gravity ( IF 3.5 ) Pub Date : 2022-04-12 , DOI: 10.1088/1361-6382/ac5d88
Samuel E Gralla 1 , Kunal Lobo 1
Affiliation  

We revisit the old problem of the self-force on a particle moving in a weak-field spacetime in the context of renewed interest in two-body gravitational scattering. We analytically calculate the scalar, electromagnetic, and gravitational self-force on a particle moving on a straight-line trajectory at a large distance from a Newtonian star, and use these results to find the associated correction to its motion. In the gravitational case we must also include the matter-mediated force, which acts at the same perturbative order as the gravitational self-force. We further augment the gravitational results with geodesic calculations at second order in the central body mass to determine the full, explicit solution to the two-body gravitational scattering problem at second post-Minkowskian order (2PM). We calculate the momentum transfer (which reproduces Westpfahl’s old result), the change in mechanical angular momentum (which matches the radiative flux recently computed by Damour), and the change in mechanical mass moment (the time-space components of the angular momentum tensor), which has not previously appeared. Besides the new 2PM results of explicit trajectories and all conserved quantities, this work clarifies the role of gravitational self-force in PM scattering theory and provides a foundation for higher-order calculations.

中文翻译:

后闵可夫斯基散射中的自力效应

在对双体引力散射重新产生兴趣的背景下,我们重新审视了在弱场时空中运动的粒子的自力这个老问题。我们分析计算了一个粒子在距离牛顿恒星很远的直线轨迹上移动时的标量、电磁和引力自力,并使用这些结果找到对其运动的相关校正。在引力情况下,我们还必须包括以物质为媒介的力,它与引力自力处于相同的微扰阶。我们进一步通过中心体重的二阶测地线计算来增强引力结果,以确定后闵可夫斯基二阶 (2PM) 双体引力散射问题的完整、显式解。我们计算动量传递(重现 Westpfahl 的旧结果)、机械角动量的变化(与 Damour 最近计算的辐射通量相匹配)和机械质量矩的变化(角动量张量的时空分量) ,以前没有出现过。除了显式轨迹和所有守恒量的新 2PM 结果外,这项工作还阐明了引力自力在 PM 散射理论中的作用,并为高阶计算提供了基础。
更新日期:2022-04-12
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