论文标题
任意时空中无力的电动力学和叶子
Force-free Electrodynamics and Foliations in an arbitrary Spacetime
论文作者
论文摘要
在本文中，我们制定了无力的电动力学和叶子之间的关系。背景度量，被认为是预先确定的和电中性的，但其他任意。事实证明，无力电动力学的解决方案与具有规定特性的时空叶子的存在密切相关。我们还证明了局部存在和唯一性定理，并提供了在满足某些条件时构建唯一解决方案/类别的解决方案的配方。我们用示例阐明了定理。我们还能够证明当非零解决方案接近无效限制时，我们也可以证明一个奇异定理。在这里，我们也构建了一个明确的示例来说明奇异定理。
In this paper we formulate the relationship between force-free electrodynamics and foliations. The background metric, is considered predetermined and electrically neutral, but otherwise arbitrary. As it turns out, solutions to force-free electrodynamics is intimately connected to the existence of foliations of a spacetime with prescribed properties. We also prove a local existence and uniqueness theorem and provide a recipe for constructing the unique solution/class of solutions when certain conditions are met. We clarify the theorem with examples. We are also able to also prove a singularity theorem for when non-null solutions approach the null limit. Here too, we construct an explicit example to illustrate the singularity theorem.
