动态Chern-Simons引力场中Schwarzschild黑洞的稳定性分析
Stability analysis of Schwarzschild black holes in dynamical Chern-Simons gravity
摘要：
动力学Chern-Simons引力有一个有趣的特征，即宇称破坏项的存在，并且耦合由动力学标量场决定。当时空具有球对称性时，宇称破坏项为零，则标量场为零的史瓦西时空的度规是动力学Chern-Simons引力的精确解。Chern-Simons耦合效应出现在Schwarzschild时空微扰的研究中。由于宇称违反项的存在，奇宇称度规扰动和扰动标量场耦合，扰动场方程组的形式为耦合的薛定谔方程.我们证明了线性模式稳定性的一个通用的大规模标量。
英文摘要：
Dynamical Chern-Simons gravity has an interesting feature that the parity violating term exists, and the coupling is determined by a dynamical scalar field. When the spacetime has spherical symmetry, the parity violating term vanishes, and then the metric of the Schwarzschild spacetime with vanishing scalar field is an exact solution of dynamical Chern-Simons gravity. The effect of the Chern-Simons coupling appears in the study of perturbation around the Schwarzschild spacetime. Due to the parity violating term, the odd parity metric perturbation and the perturbed scalar field are coupled, and the perturbed field equations take the form of the coupled system of the Schrödinger equations. We prove linear mode stability for a generic massive scalar.
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