论文标题
Schwarzschild-de保姆Spacetime的狄拉克场的非迹象稳定性
Non-evident stability of a Dirac field in Schwarzschild-de Sitter spacetime
论文作者
论文摘要
Schwarzschild时空中Dirac场的扰动的特征是两个波方程（对于两个手势），具有有效的电势，这是等光谱，其中一个是正面的。因此，Schwarzschild背景中Dirac字段的稳定性很简单。对于Schwarzschild-de保姆而言，这并非如此，因为两种手力的潜力都具有负差距，并且在文献中显然省略了渐近性的稳定性在渐近的Sitter案中自动保证的事实。通过执行波动方程的时域积分，并因此考虑了光谱的所有准模式，我们证明了schwarzschild-de de Sitter SpaceTime中狄拉克场的稳定性。稳定性的分析也扩展到了Reissner-Nordstrom-DE保姆解决方案。
Perturbations of the Dirac field in the Schwarzschild spacetime are characterized by two wave equations (for two chiralities) with effective potentials which are iso-spectral and one of which is positive definite. Therefore, the stability of a Dirac field in the Schwarzschild background is straightforward. This is not so for the Schwarzschild-de Sitter case, because potentials for both chiralities have negative gaps and the fact that the stability is not automatically guaranteed in the asymptotically de Sitter case was apparently omitted in the literature. Performing the time-domain integration of the wave equations and, thereby, taking into consideration all the quasinormal modes of the spectrum, we demonstrate stability of the Dirac field in the Schwarzschild-de Sitter spacetime. The analysis of stability is extended also to the Reissner-Nordstrom-de Sitter solution.
