论文标题
在爱因斯坦重力下的无限红移局部状态
Infinite-redshift localized states of Dirac fermions under Einsteinian gravity
论文作者
论文摘要
我们为在爱因斯坦重力下有无限的中央红移的一组局部状态提供了偶数迪拉克费米的局部状态。在局部状态的中心附近，狄拉克旋转器和时空度量的组件均显示出简单的幂律依赖性对径向距离的依赖性；进一步的费米管函数衰减降至零，时空变为渐近平坦。我们表明，运动方程的这种“中心”解决方案可用于了解Finster，Smoller和Yau [Phys]观察到的许多结构。 Rev. D 59，104020（1999）]在有限的中央红移的数值解决方案中。
We present a set of localized states for an even number of Dirac fermions under Einsteinian gravity that have an infinite central redshift. Near the center of the localized state the components of the Dirac spinor and the spacetime metric all show simple power-law dependences on the radial distance; further out the fermionic wave function decays to zero and the spacetime becomes asymptotically flat. We show that this `central' solution of the equations of motion can be used to understand much of the structure observed by Finster, Smoller, and Yau [Phys. Rev. D 59, 104020 (1999)] in their numerical solutions of the same problem at finite central redshift.
