发表机构
Roane State Community College; Utah State University; Virginia Tech（罗恩州立社区学院; 犹他州立大学; 弗吉尼亚理工大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文通过椭圆曲线研究Reissner-Nordström-de Sitter时空及其Kiselev变形中的零测地线，关联非临界E7 Seiberg-Witten族，导出光偏转微分方程，并分离极端点与Argyres-Douglas点，揭示临界轨迹的相交条件。
AI 中文摘要
我们通过径向方程定义的椭圆曲线，研究了Reissner-Nordström-de Sitter时空及其ω=-2/3 Kiselev变形中的零测地线。这些曲线与非临界E7 Seiberg-Witten族的关系，导出了有限距离光偏转的微分方程，并通过Seiberg-Witten微分的适当规范解释了边界源项。该几何将极端点Q²=M²与Argyres-Douglas点Q²=9M²/8分开。我们还确定了Kiselev临界点和视界轨迹，并证明在固定非零角动量下，Argyres-Douglas轨迹与超冷轨迹仅在零Killing能量处相交。
英文摘要
We study null geodesics in Reissner-Nordström-de Sitter spacetime and in its $ω=-2/3$ Kiselev deformation through the elliptic curves defined by the radial equation. The relation of these curves to the non-critical $E_7$ Seiberg-Witten family yields differential equations for finite-distance light deflection, and explains the boundary source term through a suitable gauge of the Seiberg-Witten differential. This geometry separates the extremal point $Q^2=M^2$ from the Argyres-Douglas point $Q^2=9M^2/8$. We also determine the Kiselev critical and horizon loci, and show that, at fixed nonzero angular momentum, the Argyres-Douglas and ultracold loci meet only at zero Killing energy.
Comments22 pgs + Appendix
