论文标题
平行的纺纱器,PP波和重力扰动
Parallel spinors, pp-waves, and gravitational perturbations
论文作者
论文摘要
我们证明,4维真空PP波段时空的任何实际真空引力扰动都可以在本地表达,Modulo仪表转换,作为Hertz/Debye电位的实际部分,标量势可以满足波动方程。我们讨论了与复杂的扰动,复杂的空间时间,非线性结构和具有分裂(超纤维/克莱尼)签名的真实空间的关系。由平行旋转器的普遍概念激励,我们还讨论了结果对其他空间时间的概括。
We prove that any real, vacuum gravitational perturbation of a 4-dimensional vacuum pp-wave space-time can be locally expressed, modulo gauge transformations, as the real part of a Hertz/Debye potential, where the scalar potential satisfies the wave equation. We discuss relations with complex perturbations, complex space-times, non-linear structures, and real spaces with split (ultra-hyperbolic/Kleinian) signature. Motivated by generalized notions of parallel spinors, we also discuss generalizations of the result to other space-times.