用极端质量比旋进探测近区磁场
Probing near-zone magnetic fields with extreme mass-ratio inspirals
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中文总结 AI 辅助
研究弱近区磁场能否在EMRI波形上留印记,通过磁化史瓦西解等建模,计算磁修正并用特定近似演化旋进,发现特定场强能产生可测相位偏移,表明EMRIs可探测极强近区磁场,普通磁场难以产生可测效应。
中文摘要 AI 辅助
我们研究了弱近区磁场是否能在极端质量比旋进(EMRI)波形上留下可观测印记。中心大质量黑洞由磁化的史瓦西或恩斯特解建模,次要致密天体被视为赤道圆测地线上的中性点粒子。我们计算了圆轨道量和最内稳定圆轨道的磁修正,然后使用混合的、源修正的雷杰 - 惠勒 - 泽里利近似演化旋进。对于一个基准系统,特定场强产生约1.3弧度的一年相位偏移并达到LISA噪声加权失配阈值。结果表明EMRIs原则上能探测极强近区磁场,而大质量黑洞周围普通磁场可能太弱无法产生可探测效应。
英文摘要
We investigate whether weak near-zone magnetic fields can leave observable imprints on extreme-mass-ratio inspiral (EMRI) waveforms. The central massive black hole is modeled by the magnetized Schwarzschild, or Ernst, solution, and the secondary compact object is treated as a neutral point particle on equatorial circular geodesics. We compute the magnetic corrections to the circular-orbit quantities and the innermost stable circular orbit, and then evolve the inspiral using a hybrid, source-corrected Regge--Wheeler--Zerilli approximation, in which the Schwarzschild wave-propagation potentials are kept fixed while the source is evaluated on the magnetized orbit. For a fiducial system with \(M=10^6M_\odot\) and \(μ=10M_\odot\), a field strength \(B\simeq 4\times10^{-5}M^{-1}\), corresponding to \(B_{\rm phys}\sim10^9\,{\rm G}\), produces a one-year dephasing of about \(1.3\) rad and \ccr{a LISA-noise-weighted mismatch which, after maximization over the relative arrival time and initial GW phase, remains slightly above the adopted distinguishability threshold at one year}. Our results suggest that EMRIs can in principle probe extremely strong near-zone magnetic fields, whereas ordinary magnetic environments around massive black holes are likely too weak to produce detectable effects within the present approximation.
发表机构
- School of Physics and Optoelectronics, South China University of Technology(华南理工大学物理与光电工程学院)
- Department of physics, Nanchang University(南昌大学物理系)
- Center for Relativistic Astrophysics and High Energy Physics, Nanchang University(南昌大学相对论天体物理与高能物理中心)
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