动态Chern-Simons引力中Schwarzschild黑洞的引力特征
Gravitational signature of Schwarzschild black holes in dynamical Chern-Simons gravity
摘要：
动力学Chern-Simons引力是广义相对论的一种推广，其中引力场通过宇称破坏的Chern-Simons项与标量场耦合。在这个框架下，我们研究了球对称黑洞时空的扰动，假设背景标量场为零。我们的结果表明，这些时空是稳定的，小的扰动会随着衰荡而消失。然而，与标准的广义相对论相反，引力波形也是由标量场驱动的。因此，黑洞的引力振荡模式带有与标量场耦合的印记。这是陈-西蒙斯理论的确凿证据，可以用引力波探测器（如LIGO或LISA）进行测试。对于负值的耦合常数，鬼是已知的，出现，我们明确验证其外观数值。我们的结果进行了验证，使用时间演化和频域方法。
英文摘要：
Dynamical Chern-Simons gravity is an extension of General Relativity in which the gravitational field is coupled to a scalar field through a parity-violating Chern-Simons term. In this framework, we study perturbations of spherically symmetric black hole spacetimes, assuming that the background scalar field vanishes. Our results suggest that these spacetimes are stable, and small perturbations die away as a ringdown. However, in contrast to standard General Relativity, the gravitational waveforms are also driven by the scalar field. Thus, the gravitational oscillation modes of black holes carry imprints of the coupling to the scalar field. This is a smoking gun for Chern-Simons theory and could be tested with gravitational-wave detectors, such as LIGO or LISA. For negative values of the coupling constant, ghosts are known to arise, and we explicitly verify their appearance numerically. Our results are validated using both time evolution and frequency domain methods.
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