论文标题
Kerr Spacetime上巨大标量的超级不稳定性
Superradiant instability of a massive scalar on the Kerr spacetime
论文作者
论文摘要
我们研究了巨大的标量扰动下Kerr黑洞的超级不稳定性。当扩展大型$ r $的标量$ v_k（r）$时，我们会获得潜在的$ v_i（r）$。牛顿潜力$ v_1（r）$和远区势$ v_2（r）$用于探索超级不稳定性，而$ v_3（r）$匹配中性粒子围绕克尔黑洞的中性粒子移动的地球潜在$ v_ v_ v_ {gk}（r）$。因此，$ v_ {gk}（r）$用于修复分离常数。我们通过分析牛顿潜在的$ v_1（r）$和从$ v_2（r）$获得的牛顿潜在的$ v_1（r）$和远区波函数来获得捕获良好的诱捕条件。发现没有捕获井的另一个条件（一个小井）会产生渐近结合状态。最后，我们讨论了一个超轻质玻色子，其潜力位于渐近区域。
We investigate the superradiant instability of Kerr black holes under a massive scalar perturbation. We obtain a potential $V_i(r)$ when expanding the scalar potential $V_K(r)$ for large $r$. The Newton potential $V_1(r)$ and the far-region potential $V_2(r)$ are used to explore the superradiant instability, while $V_3(r)$ matches a geodesic potential $V_{gK}(r)$ for a neutral particle moving around the Kerr black hole. Thus, $V_{gK}(r)$ is employed to fix the separation constant. We obtain a condition for a trapping well to possess a quasibound state in the Kerr black holes by analyzing the Newton potential $V_1(r)$and far-region wave functions obtained from $V_2(r)$. The other condition for no trapping well (a tiny well) is found to generate an asymptotic bound state. Finally, we discuss an ultralight boson whose potential has a tiny well located at asymptotic region.
