标题： 电磁扰动在Weyl修正下的动力学演化 显示英文标题

标题： Dynamical evolution of the electromagnetic perturbation with Weyl corrections

摘要： 我们首先介绍了四维黑洞时空中带有Weyl修正的电磁扰动主方程，该方程不仅依赖于Weyl修正参数，还依赖于电磁场的奇偶性。 这与四维时空中没有Weyl修正的通常电磁扰动方程有很大的不同。 然后我们数值研究了四维施瓦茨希尔德黑洞时空背景下的带有Weyl修正的电磁扰动的动力学演化。 我们的结果表明， Weyl修正参数$\alpha$和奇偶性在电磁扰动的波动力学中留下了印记。 对于奇偶性的电磁扰动，我们发现如果$\alpha$的值低于负临界值$\alpha_c$，它将以指数速率增长。 然而，对于偶奇性的电磁扰动，我们发现不存在这样的临界阈值，并且电磁场在$\alpha$的允许范围内总是衰减的。 显示英文摘要

摘要： We present firstly the master equation of an electromagnetic perturbation with Weyl correction in the four-dimensional black hole spacetime, which depends not only on the Weyl correction parameter, but also on the parity of the electromagnetic field. It is quite different from that of the usual electromagnetic perturbation without Weyl correction in the four-dimensional spacetime. And then we have investigated numerically the dynamical evolution of the electromagnetic perturbation with Weyl correction in the background of a four-dimensional Schwarzschild black hole spacetime. Our results show that the Weyl correction parameter $\alpha$ and the parities imprint in the wave dynamics of the electromagnetic perturbation. For the odd parity electromagnetic perturbation, we find it grows with exponential rate if the value of $\alpha$ is below the negative critical value $\alpha_c$. However, for the electromagnetic perturbation with even parity, we find that there does not exist such a critical threshold value and the electromagnetic field always decays in the allowed range of $\alpha$.