AI 中文总结
研究旋转致密天体准周期振荡，提出宏观进动模型，通过纳入轨道物质自旋影响解决物理限制，将盘不均匀性视为自旋测试体获修正，经MCMC拟合建模八个NS X射线双星源，表明数据选择吸积物质结构，解释相关物理现象。
AI 中文摘要
相对论进动模型（RPM）将双千赫兹准周期振荡（QPOs）解释为在包含中子星（NS）或黑洞的X射线双星时空中轨道运行的测试粒子的测地线频率。在几个NS X射线双星中，QPOs能被与施瓦西 - 德西特（SdS）时空近乎简并的有效几何很好地再现，这阻碍了对质量、角动量等可观测量的独立测定。我们提出通过纳入轨道物质自旋的影响来解决这一物理限制，最终引入宏观进动模型（MPM）。我们将盘的不均匀性视为由马蒂松 - 帕帕佩特鲁 - 狄克逊（MPD）方程控制的自旋测试体，并获得对方位角和径向周转频率的非最小自旋曲率修正。我们基于 metropolis 算法进行蒙特卡罗马尔可夫链（MCMC）拟合，并对八个NS X射线双星源进行建模。我们的统计分析表明，数据选择了吸积物质的内部结构，无需通过引入任何修正的德西特相位来修正克尔和施瓦西时空。从物理上讲，MPM范式解释了如果不采用自旋，为何通过非最小自旋曲率耦合，类似SdS的有效结构在统计上会更受青睐，同时保持测试粒子假设不变。
英文摘要
The relativistic precession model (RPM) interprets the twin kilohertz quasi-periodic oscillations (QPOs) as geodesic frequencies of test particles orbiting in the spacetime of X-ray binaries hosting either a neutron star (NS) or a black hole. In several NS X-ray binaries, QPOs are well reproduced by effective geometries nearly degenerate with a Schwarzschild-de Sitter (SdS) spacetime, hindering independent determinations of the mass, the angular momentum and other observables. We propose how to solve this physical limitation by incorporating the effects of orbiting matter spin, culminating in introducing the macroscopic precession model (MPM). We treat the disk inhomogeneities as spinning test bodies governed by the Mathisson-Papapetrou-Dixon (MPD) equations and obtain non-minimal spin curvature corrections to the azimuthal and the radial epicyclic frequencies. We perform Monte Carlo Markov chain (MCMC) fits, based on the Metropolis algorithm, and model eight NS X-ray binary sources. Our statistical analyzes show that the data select the internal structure of the accreting matter, without requiring corrections to Kerr and Schwarzschild spacetimes through the introduction of any correcting de Sitter phase. Physically, the MPM paradigm explains why an effective SdS-like structure could be statistically favored if spin is not employed, through non-minimal spin-curvature coupling, leaving unaltered the test particle hypothesis.
Comments7 pages, 1 figure, 1 table
