爱因斯坦-麦克斯韦-标量理论中黑洞周围周期轨道的引力波辐射
Gravitational wave radiation from periodic orbits around a black hole in Einstein-Maxwell-scalar theory
- Harbin Institute of Technology（哈尔滨工业大学）
- University of Tashkent for Applied Sciences（塔什干应用科学大学）
- New Uzbekistan University（新乌兹别克斯坦大学）
- Institute of Fundamental and Applied Research, National Research University TIIAME（国立研究型大学TIIAME基础与应用研究所）
- National University of Uzbekistan（乌兹别克斯坦国立大学）
- Tashkent State Technical University（塔什干国立技术大学）
机构由 AI 辅助整理，请以论文原文为准。
AI总结：
本文研究EMS理论中黑洞周围的周期轨道及引力波，发现MBO和ISCO随β和电荷Q增大而减小、随γ增大而增大，且电荷增加使zoom-whirl轨道收缩、波形时间缩短。
AI中文摘要：
本文研究了爱因斯坦-麦克斯韦-标量（EMS）理论中黑洞（BH）周围的周期轨道及相应的引力波形。首先，我们利用拉格朗日形式研究了黑洞周围的测试粒子动力学。利用相应的条件，我们探讨了时空参数对边际束缚轨道（MBO）和最内层稳定圆轨道（ISCO）的影响。结果表明，随着$\beta$参数和黑洞电荷$Q$的增加，MBO和ISCO的量值减小，而随着$\gamma$参数的增加则相反。随后，我们通过找到测试粒子相应的能量和角动量，绘制了EMS理论中黑洞周围不同的zoom-whirl轨道。最后，我们展示了极端质量比旋进（包含EMS理论中的超大质量黑洞和恒星质量天体）的引力波形。结果表明，随着黑洞电荷的增加，zoom-whirl轨道收缩，因此引力波形向更短的时间方向移动。
英文摘要：
In this paper, we investigate the periodic orbits around a black hole (BH) in Einstein-Maxwell-scalar (EMS) theory and the corresponding gravitational waveforms. First, we study the test particle dynamics around the BH by using the Lagrangian formalism. Using the corresponding conditions, we explore the effect of the spacetime parameters on the marginally bound orbit (MBO) and innermost stable circular orbit (ISCO). The results indicate that MBO and ISCO quantities decrease with the rise of the $β$ parameter and BH charge $Q$, and vice versa for the $γ$ parameter. Subsequently, we plot the different zoom-whirl orbits around the BH in EMS theory by finding the test particle's corresponding energy and angular momentum. Finally, the gravitational waveforms of the extreme mass ratio inspirals, which contain a supermassive BH in EMS theory and a stellar mass object, are demonstrated. It is shown that the zoom-whirl orbits shrink as the BH charge increases, and, as a result, gravitational waveforms shift towards shorter times.
