在Chern-Simons修正引力下快速旋转黑洞周围激发的标量场
Scalar field excited around a rapidly rotating black hole in Chern-Simons modified gravity
摘要：
本文讨论了在动态CS修正引力下，快速旋转黑洞周围的CS标量场。通过将Kerr时空作为背景，可以微扰地得到CS修正。我们得到CS标量场解周围的黑洞解析和数值，假设一个静态和轴对称的配置。当我们施加边界条件，即标量场在外视界上是正则的，在无穷远处为零时，标量场在内视界上发散。因此，CS标量场在内视界上成为问题。
英文摘要：
We discuss a Chern-Simons (CS) scalar field around a rapidly rotating black hole in dynamical CS modified gravity. The CS correction can be obtained perturbatively by considering the Kerr spacetime to be the background. We obtain the CS scalar field solution around the black hole analytically and numerically, assuming a stationary and axisymmetric configuration. The scalar field diverges on the inner horizon when we impose the boundary condition that the scalar field is regular on the outer horizon and vanishes at infinity. Therefore, the CS scalar field becomes problematic on the inner horizon.
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