膜世界潮汐电荷的经典双拷贝
Braneworld tidal charge through the classical double copy
- Universidad Argentina de la Empresa (UADE), Instituto de Tecnología (INTEC)（阿根廷企业大学（UADE），技术研究所（INTEC））
- Instituto de Astronomía y Física del Espacio, (CONICET-UBA)（天文与空间物理研究所（CONICET-UBA））
机构由 AI 辅助整理，请以论文原文为准。
AI总结：
本文研究Randall-Sundrum II膜世界旋转黑洞的经典双拷贝，发现潮汐电荷与电磁电荷平方在形式上对应，且二者在低能几何中仅以组合Q²+β出现，表明膜与体块贡献在双拷贝中不可区分。
AI中文摘要：
我们研究了Randall-Sundrum II场景中膜上诱导的旋转黑洞几何的经典双拷贝。五维体块的影响通过潮汐电荷编码在有效四维几何中，而该度规在平坦背景上允许Kerr-Schild表示。我们构造了相应的单拷贝和零拷贝，发现它们的正则源完全与潮汐电荷成正比，而质量依赖的贡献在正则区域中是无源的。与Kerr-Newman的比较揭示了在诱导几何及其双拷贝层面上，潮汐电荷与电磁电荷平方之间存在形式上的对应关系，尽管它们的物理起源不同，且潮汐电荷可取任一符号。当膜上包含电磁场时，两种贡献仅通过组合$Q^2+\eta$进入低能Kerr-Schild几何及其双拷贝。这些结果说明了物理上不同的膜和体块贡献如何在有效几何的经典双拷贝中变得不可区分。
英文摘要：
We investigate the classical double copy of the rotating black-hole geometry induced on the brane in the Randall-Sundrum II scenario. The influence of the five-dimensional bulk is encoded in the effective four-dimensional geometry through a tidal charge, while the metric admits a Kerr-Schild representation over a flat background. We construct the corresponding single and zeroth copies and find that their regular sources are entirely proportional to the tidal charge, whereas the mass-dependent contribution is source-free in the regular region. Comparison with Kerr-Newman reveals a formal correspondence between the tidal charge and the squared electromagnetic charge at the level of the induced geometry and its double copies, despite their different physical origins and the fact that the tidal charge may take either sign. When an electromagnetic field is included on the brane, both contributions enter the low-energy Kerr-Schild geometry and its double copies only through the combination $Q^2+β$. These results illustrate how physically distinct brane and bulk contributions can become indistinguishable in the classical double copy of an effective geometry.
