论文标题
电磁辐射是由带电粒子辐射落入施瓦茨柴尔兹黑洞的电磁辐射：复杂的角动量描述
Electromagnetic radiation generated by a charged particle falling radially into a Schwarzschild black hole: A complex angular momentum description
论文作者
论文摘要
通过使用复杂的角动量技术，我们研究了由带电粒子从无穷大落入Schwarzschild黑洞的电磁辐射。我们认为粒子最初是在静止处的情况，也是一个相对论速度投射的粒子的情况，我们构建了复杂的角动量表示，并构建了部分波浪膨胀的重杆近似值，该粒子定义了麦克斯韦标量$ ϕ_2 $和能量谱$ de/dphe/dphe/ddome在空间infinity处观察到。我们特别表明，仅涉及一个regge极的恢复极近似值提供了这些部分波浪扩展的有效重新调整，使我们（i）允许我们（i）很好地同意黑洞的响声而无需开始时间，（ii）可以很好地描述信号的尾巴，有时是在能量界面上解释振动界面的振动范围，并且（iii）是通过振动范围的。目前的工作以及先前的工作，涉及落入Schwarzschild黑洞中的大量粒子产生的重力辐射[A. Foracci和M. Ould El Hadj，物理。 Rev. d $ \ textbf {98} $，064052（2018），Arxiv：1807.09056 [GR-QC]]突出了研究从复杂的角度动量框架中黑洞中研究辐射的好处考虑到背景积分贡献所需的必要条件）。
By using complex angular momentum techniques, we study the electromagnetic radiation generated by a charged particle falling radially from infinity into a Schwarzschild black hole. We consider both the case of a particle initially at rest and that of a particle projected with a relativistic velocity and we construct complex angular momentum representations and Regge pole approximations of the partial wave expansions defining the Maxwell scalar $ϕ_2$ and the energy spectrum $dE/dω$ observed at spatial infinity. We show, in particular, that Regge pole approximations involving only one Regge pole provide effective resummations of these partial wave expansions permitting us (i) to reproduce with very good agreement the black hole ringdown without requiring a starting time, (ii) to describe with rather good agreement the tail of the signal and sometimes the pre-ringdown phase, and (iii) to explain the oscillations in the electromagnetic energy spectrum radiated by the charged particle. The present work as well as a previous one concerning the gravitational radiation generated by a massive particle falling into a Schwarzschild black hole [A. Folacci and M. Ould El Hadj, Phys. Rev. D$\textbf{98}$, 064052 (2018), arXiv:1807.09056 [gr-qc]] highlight the benefits of studying radiation from black holes in the complex angular momentum framework (they obviously appear when the approximations obtained involve a small number of Regge poles and have a clear physical interpretation) but also to exhibit the limits of this approach (this is the case when it is necessary to take into account background integral contributions).
