标题： Kerr-Newman黑洞超辐射的次领级解 显示英文标题

标题： Next-to-leading-order solution to Kerr-Newman black hole superradiance

摘要： Kerr-Newman黑洞与带电或不带电的宏观自旋-0场的超辐射不稳定性在$\alpha\sim r_g \mu \ll 1$极限下被解析计算到次领头阶。 先前领头阶结果中缺少了一个$1/2$因子被识别出来。 次领头阶结果具有简洁的形式，并且与现有的数值计算结果高度一致。 百分比误差随着$\alpha$的增加而增加，对于$\alpha\sim 0.1$来说只有几个百分点，而对于$\alpha\sim 0.4$则约为$50\%$。 某些质量过大而无法通过Kerr黑洞超辐射产生的中性标量可能存在于Kerr-Newman黑洞的超辐射区域内。 显示英文摘要

摘要： The superradiant instabilities of Kerr-Newman black holes with charged or uncharged massive spin-0 fields are calculated analytically to the next-to-leading order in the limit of $\alpha\sim r_g \mu \ll 1$. A missing factor of $1/2$ in the previous leading-order result is identified. The next-to-leading order result has a compact form and is in good agreement with existing numerical calculations. The percentage error increases with $\alpha$, from a few percent for $\alpha\sim 0.1$ to about $50\%$ for $\alpha\sim 0.4$. Massive neutral scalars too heavy to be produced with Kerr black hole superradiance may exist in the superradiant region of Kerr-Newman black holes.