为Love数充电：Kerr-Newman黑洞的带电标量响应系数
Charging the Love numbers: Charged scalar response coefficients of Kerr-Newman black holes
AI总结：
研究广义Kerr-Newman黑洞对带电无质量标量的响应，获得精确复数响应系数，发现带电与中性标量Love数的奇特间断性，并揭示系统具有$SL(2,\mathbb{R})$类Love对称性。
摘要：
我们研究了广义Kerr-Newman黑洞对带电无质量标量的电响应，并获得了精确的（复数）响应系数，其实部即为Love数。我们发现中性标量与带电标量之间存在一个奇特的间断性。中性标量的Love数消失，但在小电荷极限下，Love数与标量的电荷成反比。我们研究了具有非零频率$ω$的动力学方程的近域，并证明系统具有$SL(2,\mathbb{R})$类Love对称性。该对称性选择了一个特殊频率$ω_{\rm cr}$，它在中性情况下消失，从而使响应系数的实部恒为零。我们还在一定程度上将结果推广到了更高维度。
英文摘要：
We study the electrically-charged massless scalar response to the general Kerr-Newman black hole and obtain the exact (complex) response coefficients, whose real parts are the Love numbers. We find there is a curious discontinuity between the neutral and charged scalar. The Love numbers vanish for the neutral scalar, but are inversely proportional to the electric charge of the scalar in the small charge limit. We study the near-zone of the dynamical equation with non-vanishing frequency $ω$, and show that the system have an $SL(2,\mathbb{R})$ Love-like symmetry. The symmetry selects a special frequency $ω_{\rm cr}$, which vanishes in the neutral case, so that the real part of the response coefficient vanishes identically. We also generalize the results into higher dimensions to some extend.
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。
