论文标题
由于轨道共振期间保守的标量自力而导致的绝热演变
Adiabatic evolution due to the conservative scalar self-force during orbital resonances
论文作者
论文摘要
我们计算出标量点的标量自我强度，沿$rθ$ resonant Geodesics绕着Kerr黑洞绕。我们使用自我努力来计算费用的轨道能量的平均变化率$ \ langle \ dot {e} \ rangle $，Ancular Momentum $ \ langle \ langle \ dot {l} _z \ rangle $，以及carter candstant $ \ langle \ langle \ langle \ doib {点率。远离共鸣，只有自我力量的耗散（时代反对称）组成部分有助于$ \ langle \ dot {e} \ rangle $，$ \ langle \ langle \ dot {l} _z _z \ rangle $，以及$ \ langle \ langle \ dot \ dot {我们使用新的数值代码证明，在$rθ$共振期间保守（时间对称）标量扰动也有助于$ \ langle \ dot {q} \ rangle $，因此有助于驱动轨道的绝热进化。此外，我们观察到，这些保守的贡献对$ \ langle \ dot {q} \ rangle $的相对影响对于偏心2：3的共振特别强。这些结果提供了第一个结论性的数值证据，即在$rθ$共振期间，Kerr Spacetime的保守标量扰动是不可集成的。
We calculate the scalar self-force experienced by a scalar point-charge orbiting a Kerr black hole along $rθ$-resonant geodesics. We use the self-force to calculate the averaged rate of change of the charge's orbital energy $\langle\dot{E}\rangle$, angular momentum $\langle\dot{L}_z\rangle$, and Carter constant $\langle\dot{Q}\rangle$, which together capture the leading-order adiabatic, secular evolution of the point-charge. Away from resonances, only the dissipative (time anti-symmetric) components of the self-force contribute to $\langle\dot{E}\rangle$, $\langle\dot{L}_z\rangle$, and $\langle\dot{Q}\rangle$. We demonstrate, using a new numerical code, that during $rθ$ resonances conservative (time symmetric) scalar perturbations also contribute to $\langle\dot{Q}\rangle$ and, thus, help drive the adiabatic evolution of the orbit. Furthermore, we observe that the relative impact of these conservative contributions to $\langle\dot{Q}\rangle$ is particularly strong for eccentric 2:3 resonances. These results provide the first conclusive numerical evidence that conservative scalar perturbations of Kerr spacetime are non-integrable during $rθ$ resonances.
