发表机构
Jiangxi Normal University; Sogang University; Xihang University（江西师范大学; 西江大学; 西航大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文通过线性标量扰动分析Kerr--Newman黑洞在Chern--Simons和Maxwell耦合下的标量化阈值，发现不同耦合参数下阈值分支的合并行为。
AI 中文摘要
为了研究标量化的起始，我们在爱因斯坦-Chern-Simons-Maxwell-标量理论中，对Kerr--Newman黑洞周围的线性标量扰动进行了研究，该理论包含二次Chern--Simons (CS)耦合γ（ĥγ=γ/M²）和Maxwell耦合η。为此，我们采用了双曲Rácz--Tóth演化和稳态轴对称零模计算。所得阈值与代表性点处的时间域响应进行了比较。对于ĥγ=0，我们在η中发现两个不对称的阈值分支，而对于ĥγ=η，两个分支具有相反的符号和不相等的幅度。当CS和Maxwell耦合不相等时，随着自旋或CS耦合的增加，两个实阈值分支合并。
英文摘要
To study the onset of scalarization, we investigate linear scalar perturbations around Kerr--Newman black holes in the Einstein-Chern-Simons-Maxwell-scalar theory with quadratic Chern--Simons (CS) coupling $γ$ ($\hatγ=γ/M^2$) and Maxwell coupling $η$. For this purpose, we employ hyperboloidal Rácz--Tóth evolution and a stationary axisymmetric zero-mode computation. The resulting thresholds are compared with the time-domain response at representative points. For $\hatγ=0$, we find two asymmetric threshold branches in $η$, while for $\hatγ=η$, the two branches have opposite signs and unequal magnitudes. For unequal CS and Maxwell couplings, the two real threshold branches merge as the spin or CS coupling increases.
Comments29 pages, 17 figures, 3 tables
