标题： 偏心极端质量比螺旋引力波形中的额外维度印记 显示英文标题

标题： Imprints of extra dimensions in eccentric extreme-mass-ratio inspirals gravitational waveforms

摘要： 关于额外维度的研究在现代理论物理中引起了极大兴趣，包括未来引力波（GW）天文台可能带来的观测结果。 在这个方向上，极端质量比旋近（EMRIs）在引力波天文学和基础物理学中引起了广泛关注，它们有可能为寻找额外维度提供一个有用的平台。 本文中，我们考察了旋转的分维度黑洞在赤道偏心EMRI背景下的情况，并尝试对称为“潮汐电荷”的额外维度参数进行数量级分析。 我们估计了主导模式的引力波流量，并确定了潮汐电荷参数对轨道演化的影响。 我们进一步评估了通过失配计算检测该参数的可能性。 我们观察到，随着轨道偏心率或潮汐电荷参数值的增加，失配显著增强；对于快速旋转的大质量黑洞，这种现象更加明显。 因此，研究表明，偏心EMRI有可能利用未来的低频探测器，如激光干涉空间天线（LISA），来探测额外维度的存在。 显示英文摘要

摘要： Studies regarding extra-dimensions have been of great interest in modern theoretical physics, including their observational consequences from future gravitational wave (GW) observatories. In this direction, extreme-mass-ratio inspirals (EMRIs), attracting considerable interest in GW astronomy and fundamental physics, can potentially provide a useful platform for the search of extra dimensions. In this paper, we examine a rotating braneworld black hole in the context of equatorial eccentric EMRI and attempt to provide an order of magnitude analysis for the extra-dimensional parameter termed "tidal charge". We estimate GW fluxes for the dominant mode and determine the impact of the tidal charge parameter on the orbital evolution. We further evaluate the prospects of detecting such a parameter through mismatch computation. We observe a significant enhancement in the mismatch as the value of orbital eccentricity or tidal charge parameter increases; the phenomenon becomes more obvious for rapidly rotating massive black holes. Thus, the study suggests that eccentric EMRI can potentially probe the existence of extra dimensions with future low-frequency detectors such as the Laser Interferometer Space Antenna (LISA).