Schwarzschild黑洞在动力学Chern-Simons修正引力中的扰动
Perturbations of Schwarzschild black holes in Dynamical Chern-Simons modified gravity
摘要：
动力学陈-西蒙斯（DCS）修正引力是一个有吸引力的，但相对未开发的，候选人的替代理论的引力。DCS校正将动力学标量场耦合到引力场。在这个框架下，我们分析了球对称黑洞的扰动形式和稳定性。假设不存在背景标量场，则具有极宇称和轴宇称的引力摄动是解耦的。我们发现Chern-Simons耦合对极区没有影响，而轴向扰动耦合到Chern-Simons标量场。如果耦合参数β（与标量场的动力学耦合有关）足够小，轴向扇区可以产生很强的不稳定性;这产生了对β的约束，比文献中先前已知的约束强得多。
英文摘要：
Dynamical Chern-Simons (DCS) modified gravity is an attractive, yet relatively unexplored, candidate to an alternative theory of gravity. The DCS correction couples a dynamical scalar field to the gravitational field. In this framework, we analyze the perturbation formalism and stability properties of spherically symmetric black holes. Assuming that no background scalar field is present, gravitational perturbations with polar and axial parities decouple. We find no effect of the Chern-Simons coupling on the polar sector, while axial perturbations couple to the Chern-Simons scalar field. The axial sector can develop strong instabilities if the coupling parameter beta, associated to the dynamical coupling of the scalar field, is small enough; this yields a constraint on beta which is much stronger than the constraints previously known in the literature.
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