五维DGP理论中的虫洞和孤子壳
Wormholes and solitonic shells in five-dimensional DGP theory
摘要：
我们建立五维球对称虫洞内的DGP理论。我们计算了壳层上的能量，发现虫洞可以由不违反能量条件的物质支撑。我们还表明，零压力和零能量的孤子壳的特点是可以存在的，此后，我们做了一些观察，他们的动态相平面上。此外，我们集中在径向扰动下保持原来的球对称性的虫洞的机械稳定性。为了做到这一点，我们考虑静态解周围的线性化扰动。我们得到的质量$μ$和交叉尺度$r_{c}$的某些值稳定的虫洞存在非常小的值的平方速度的声音。与爱因斯坦引力的情况不同，这种类型的虫洞满足能量条件。最后，我们证明了与这些虫洞配置相关的引力场对$μ>0$是有吸引力的。
英文摘要：
We build five-dimensional spherically symmetric wormholes within the DGP theory. We calculate the energy localized on the shell, and we find that the wormholes could be supported by matter not violating the energy conditions. We also show that solitonic shells characterized by zero pressure and zero energy can exist; thereafter we make some observations regarding their dynamic on the phase plane. In addition, we concentrate on the mechanical stability of wormholes under radial perturbation preserving the original spherical symmetry. In order to do that, we consider linearized perturbations around static solutions. We obtain that for certain values of the mass $μ$ and crossover scale $r_{c}$ stable wormholes exist with very small values of squared speed sound. Unlike the case of Einstein's gravity, this type of wormholes fulfills the energy conditions. Finally, we show that the gravitational field associated with these wormhole configurations is attractive for $μ>0$.
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