标题： 通过源推导Weyl双复制 显示英文标题

标题： Deriving Weyl double copies with sources

摘要： Weyl双复制是规范理论和引力理论中经典解之间的关系，之前已被应用于广义相对论及其推广中的真空解。 也有建议认为，Weyl双复制应扩展到具有非平凡源的解。 在本文中，我们使用之前为${\cal N}=0$超引力建立的旋量方法，系统地推导了带源的Weyl双复制公式。 作为交叉验证，我们使用张量方法重新推导了相同的公式，这使我们能够将论证扩展到包含径向坐标逆幂次的源。 我们还将结果推广以包括Kerr-Newman黑洞，澄清了文献中先前提出的其他双复制公式。 我们的结果扩展了Weyl双复制的有效性，可能对这种对应关系的进一步天体物理应用有用。 显示英文摘要

摘要： The Weyl double copy is a relationship between classical solutions in gauge and gravity theories, and has previously been applied to vacuum solutions in both General Relativity and its generalisations. There have also been suggestions that the Weyl double copy should extend to solutions with non-trivial sources. In this paper, we provide a systematic derivation of sourced Weyl double copy formulae, using spinorial methods previously established for ${\cal N}=0$ supergravity. As a cross-check, we rederive the same formulae using a tensorial approach, which then allows us to extend our arguments to sources containing arbitrary powers of the inverse radial coordinate. We also generalise our results to include the Kerr-Newman black hole, clarifying previous alternative double copy formulae presented in the literature. Our results extend the validity of the Weyl double copy, and may be useful for further astrophysical applications of this correspondence.