通过惯性系拖曳效应区分MOG中的黑洞与裸奇点
Distinguishing Black Hole and Naked Singularity in MOG via Inertial Frame Dragging Effect
AI总结：
本研究在修正引力（MOG）框架下，通过分析测试陀螺的广义自旋进动、Lense-Thirring频率及吸积盘的多种本征频率，实现了对Kerr-MOG时空中非极端黑洞、极端黑洞与裸奇点三类致密天体的区分。
摘要：
我们分析了测试陀螺在稳态时空（即标量-张量-矢量引力或称修正引力（MOG）中的Kerr-MOG黑洞（BH））周围的广义自旋进动。我们针对非极端Kerr-MOG黑洞、极端Kerr-MOG黑洞以及裸奇点（NS）开展了广义自旋频率的详细研究，并与Kerr时空中的非极端黑洞、极端黑洞和裸奇点进行了对比。我们计算得到的广义自旋频率可表示为黑洞质量参数、角动量参数和MOG参数的函数。此外，我们通过计算上述进动频率来区分非极端黑洞、极端黑洞和裸奇点。Lense-Thirring（LT）频率可通过取Ω=0的极限（即角频率设为零的极限）从广义自旋频率中得到。我们进一步计算了从极面到赤道面不同角坐标下的LT频率，结果表明极端黑洞的LT频率在视界处发散。最后，我们通过计算三种本征频率——即开普勒频率、径向本征频率和垂直本征频率——研究了吸积盘物理，还计算了近星点频率和节点频率。借助这些频率分布，人们可以区分三种致密天体：非极端黑洞、极端黑洞和裸奇点。
英文摘要：
We analyze the generalized spin precession of a test gyroscope around a stationary spacetime i.e. for Kerr-MOG black hole~(BH) in scalar-tensor-vector gravity or modified gravity~(MOG). A detailed study of generalized spin frequency has been done for \emph{non} extremal Kerr-MOG BH, \emph{extremal} Kerr-MOG BH and \emph{naked singularity~(NS)} in comparison to non-extremal BH, extremal BH, and NS of Kerr spacetime. The generalized spin frequency that {we have} computed could be expressed in terms of {the} BH mass parameter, the angular momentum parameter, and the MOG parameter. Moreover, we differentiate the non-extremal BH, extremal BH, and NS via computation of the said precession frequency. The Lense-Thirring~(LT) frequency {can} obtain from generalized spin frequency by taking the limit as $Ω=0$ i. e. {when the} angular frequency is set to zero limit. Furthermore, we compute the LT frequency for various {values of} angular coordinates i.e. starting from polar to {the} equatorial plane. We show that the LT frequency diverges at the horizon for extremal BH. Finally, we study the accretion disk physics by computing three epicyclic frequencies namely the Keplerian frequency, {the} radial epicyclic frequency and {the} vertical epicyclic frequency. We also compute the periastron frequency and nodal frequency. With the aid of these frequency profiles, {one} can distinguish three compact objects i. e. \emph{non-extremal BH, extremal BH} {and} \emph{NS}.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
