论文标题
Kerr几何形状的相空间中的界限域
Bound orbit domains in the phase space of the Kerr geometry
论文作者
论文摘要
我们得出了在两个参数空间中的Kerr黑洞周围存在的非赤道偏心界轨道的条件：能量，测试粒子的角动量，黑洞的旋转和Carter的恒定空间（$ e $，$ e $，$ l $，$ a $，$ q $），$ e $，$ e $，$，$，$，$ a $，$ a $ a $，这些条件在（$ e $，$ l $）和（$ e $，$μ$）飞机的不同区域中分发了各种绑定的轨道，具体取决于有效电位的一对根形成界限。我们提供了一个处方来为界限选择这些参数，这些参数是研究各种天体物理应用中结合轨迹进化的有用输入，例如，从极端质量的灵感中，引力波发射的模拟，黑洞周围的相对论进攻以及陀螺仪预测研究的研究作为一般相对性的测试。
We derive the conditions for a non-equatorial eccentric bound orbit to exist around a Kerr black hole in two-parameter spaces: the energy, angular momentum of the test particle, spin of the black hole, and Carter's constant space ($E$, $L$, $a$, $Q$), and eccentricity, inverse-latus rectum space ($e$, $μ$, $a$, $Q$). These conditions distribute various kinds of bound orbits in different regions of the ($E$, $L$) and ($e$, $μ$) planes, depending on which pair of roots of the effective potential forms a bound orbit. We provide a prescription to select these parameters for bound orbits, which are useful inputs to study bound trajectory evolution in various astrophysical applications like simulations of gravitational wave emission from extreme-mass ratio inspirals, relativistic precession around black holes, and the study of gyroscope precession as a test of general relativity.
