标题： EMRIs中辐射反应效应偏离Kerr几何的探测前景 显示英文标题

标题： Prospects of detecting deviations to Kerr geometry with radiation reaction effects in EMRIs

摘要： 直接探测引力波和双黑洞并合已被证明是研究广义相对论的杰出方法。 为了确定所测试的黑洞时空是克尔还是非克尔，需要对度规进行精确映射。 由于EMRIs是空间探测器的理想候选者，激光干涉空间天线（LISA）观测将在映射时空度规中起到关键作用。 在本文中，我们考虑了这样的研究，使用约翰森时空来捕捉偏离克尔黑洞的情况，并进一步讨论其探测前景。 我们解析地推导了由在约翰森背景中表现出偏心赤道运动的恒星级物体产生的平均能量和角动量通量损失的领先阶后牛顿修正。 我们进一步在绝热近似下获得了绕旋物体的轨道演化并估计了轨道相位。 最后，我们通过估计引力波去相位来评估偏离克尔黑洞的可能性，并强调LISA观测的关键作用。 显示英文摘要

摘要： Direct detection of gravitational waves and binary black hole mergers have proven to be remarkable investigations of general relativity. In order to have a definitive answer as to whether the black hole spacetime under test is the Kerr or non-Kerr, one requires accurate mapping of the metric. Since EMRIs are perfect candidates for space-based detectors, Laser Interferometer Space Antenna (LISA) observations will serve a crucial purpose in mapping the spacetime metric. In this article, we consider such a study with the Johannsen spacetime that captures the deviations from the Kerr black hole and further discuss their detection prospects. We analytically derive the leading order post-Newtonian corrections in the average loss of energy and angular momentum fluxes generated by a stellar-mass object exhibiting eccentric equatorial motion in the Johannsen background. We further obtain the orbital evolution of the inspiralling object within the adiabatic approximation and estimate the orbital phase. We lastly provide the possible detectability of deviations from the Kerr black hole by estimating gravitational wave dephasing and highlight the crucial role of LISA observations.