论文标题
动态Chern-Simons重力中磁引起的自发标量
Magnetic-induced Spontaneous Scalarization in Dynamcial Chern-Simons Gravity
论文作者
论文摘要
在动态Chern-Simons重力的框架内，我们研究了Reissner-Nordström-Melvin SpaceTime的标量场扰动，该时期描述了一个被均匀磁场渗透的带电的黑洞。在存在磁场的情况下，标量场获得了一个有效的质量，其正方形在角方向的半域中具有负值。只要标量场和Chern-simons不变的耦合常数超过阈值，这不可避免地引入了速率不稳定性和相关的自发标量。我们研究了线性级别标量场扰动的时间演变的对象图片，并发现磁场的存在将极大地改变波形和相关的环形模式。不稳定扰动的非线性演变也在脱钩极限中进行，这证明了标量云作为最终命运。还研究了耦合常数和黑洞电荷对波动力学的影响。
In the framework of the dynamical Chern-Simons gravity, we study the scalar field perturbations of the Reissner-Nordström-Melvin spacetime, which describes a charged black hole permeated by a uniform magnetic field. In the presence of the magnetic field, the scalar field acquires an effective mass whose square takes negative value in the half domain of the angular direction. This inevitably introduces the tachyonic instability and associated spontaneous scalarization as long as the coupling constant between the scalar field and the Chern-Simons invariant exceeds a threshold value. We study the object pictures of the time evolutions of the scalar field perturbations at the linear level, and find that the presence of the magnetic field will dramatically change the waveforms and associated ringdown modes. Nonlinear evolutions for the unstable perturbations are also performed in the decoupling limit, which demonstrate the scalar cloud as the final fate. Influences of the coupling constant and the black hole charge on the wave dynamics are also studied.
