标题： 加速源的场：诞生于de Sitter 显示英文标题

标题： Fields of accelerated sources: Born in de Sitter

摘要： 本文详尽探讨了均匀加速电荷在de Sitter时空中的纯量场和电磁场。 它详细阐述并扩展了我们2002年发表于《物理评论快报》的工作。 首先总结了经典Born解的基本性质，这些解表示平坦时空中两个均匀加速的电荷。 定义并描述了de Sitter宇宙中均匀加速粒子的世界线，这些世界线被置于多种坐标系中，其中一些具有宇宙学意义，另一些则自然地与粒子相关联。 通过利用Minkowski空间和de Sitter空间之间的共形关系，构建了由加速电荷产生的纯量场和电磁场。 分析并阐明了广义“宇宙学”Born解在各种坐标系中的性质。 特别是展示了一种极限过程，该过程使de Sitter空间中的宇宙学Born场回到Minkowski空间中的经典Born解。 在广泛的附录中（可以独立于正文使用），用解析方法并辅以多种共形图描述了de Sitter时空中九类坐标系。 显示英文摘要

摘要： This paper deals thoroughly with the scalar and electromagnetic fields of uniformly accelerated charges in de Sitter spacetime. It gives details and makes various extensions of our Physical Review Letter from 2002. The basic properties of the classical Born solutions representing two uniformly accelerated charges in flat spacetime are first summarized. The worldlines of uniformly accelerated particles in de Sitter universe are defined and described in a number of coordinate frames, some of them being of cosmological significance, the other are tied naturally to the particles. The scalar and electromagnetic fields due to the accelerated charges are constructed by using conformal relations between Minkowski and de Sitter space. The properties of the generalized `cosmological' Born solutions are analyzed and elucidated in various coordinate systems. In particular, a limiting procedure is demonstrated which brings the cosmological Born fields in de Sitter space back to the classical Born solutions in Minkowski space. In an extensive Appendix, which can be used independently of the main text, nine families of coordinate systems in de Sitter spacetime are described analytically and illustrated graphically in a number of conformal diagrams.