论文标题
Ellis-Bronnikov虫洞的极性模式和异常
Polar modes and isospectrality of Ellis-Bronnikov wormholes
论文作者
论文摘要
我们考虑静态Ellis-Bronnikov虫洞的极性扰动，并得出引力和标量场的耦合集合。对于无质虫孔的扰动，我们获得了标量和重力模式的两个相同的主方程，此外，它们与轴向模式的主方程一致。因此，具有三重变性模式的等速光。对于有限的背景虫洞溶液，方程是耦合的。然后，我们为给定的多极数量L获得了两个不同的极性模式的不同分支，这与两种类型的磁场的存在有关。我们计算具有L = 2、3和4的分支的准正常模式频率和衰减率。对于给定的L两个分支的实际频率越接近，多极数获得的越高。
We consider polar perturbations of static Ellis-Bronnikov wormholes and derive the coupled set of perturbation equations for the gravitational and the scalar field. For massless wormholes the perturbations decouple, and we obtain two identical master equations for the scalar and gravitational modes, which moreover agree with the master equation for the axial modes. Consequently there is isospectrality with threefold degenerate modes. For a finite mass of the background wormhole solutions, the equations are coupled. We then obtain two distinct branches of polar quasinormal modes for a given multipole number l, associated with the presence of the two types of fields. We calculate the quasi-normal mode frequencies and decay rates for the branches with l=2, 3 and 4. For a given l the real frequencies of the two branchesget the closer, the higher the multipole number gets.
