论文标题
轴对称黑洞如何长出单子和偶极子头发？
How Do Axisymmetric Black Holes Grow Monopole and Dipole Hair?
论文作者
论文摘要
我们研究标量高斯理论和动力学Chern-Simons理论中标量单子和偶极毛的动态形成。我们证明，偶极毛的球形对称模式完全取决于时空质量和单子头发的值的乘积。然后，我们表明$ \ ell = 1 $偶发的动力学与轴对称崩溃期间事件范围的外观密切相关，这导致某些模式的辐射在崩溃的未来可能会有所不同。我们通过模拟在标量高斯河内和动态的Chern-Simons理论中模拟快速旋转中子星的重力塌陷来确认这些分析预测。我们的结果与参考〜\ cite {r：2022cwe}的结果相结合，提供了这些理论中轴对称和球形重力崩溃中标量单极和偶极辐射动力学的清晰物理图。
We study the dynamical formation of scalar monopole and dipole hair in scalar Gauss-Bonnet theory and dynamical Chern-Simons theory. We prove that the spherically-symmetric mode of the dipole hair is completely determined by the product of the mass of the spacetime and the value of the monopole hair. We then show that the dynamics of the $\ell=1$ mode of the dipole hair is intimately tied to the appearance of the event horizon during axisymmetric collapse, which results in the radiation of certain modes that could have been divergent in the future of the collapse. We confirm these analytical predictions by simulating the gravitational collapse of a rapidly rotating neutron star in the decoupling limit, both in scalar Gauss-Bonnet and dynamical Chern-Simons theory. Our results, combined with those of Ref.~\cite{R:2022cwe}, provide a clear physical picture of the dynamics of scalar monopole and dipole radiation in axisymmetric and spherical gravitational collapse in these theories.
