发表机构
School of Science, Jiangsu University of Science and Technology; University of Southampton Malaysia; Department of Physics Education, Pusan National University; Research Center for Dielectric and Advanced Matter Physics, Pusan National University; Leung Center for Cosmology and Particle Astrophysics, National Taiwan University（江苏科技大学理学院; 南安普顿大学马来西亚分校; 釜山国立大学物理教育系; 釜山国立大学介电与先进物质物理研究中心; 台湾大学梁氏宇宙学与粒子天体物理学中心）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
针对爱因斯坦-欧拉-海森堡理论，研究人员突破耦合限制，构造出满足$2b>a$的精确解析双荷黑洞解，其质量函数用Lauricella超几何函数表达，还复现了特定极限下的已知解。
AI 中文摘要
近期，我们在爱因斯坦-欧拉-海森堡理论中构造了解析的纯电和纯磁黑洞解，而对应的双荷解是数值得到的（见文献[Luo:2026srx]）。受近期在特殊耦合轨迹$b=a/2$处解析构造双荷黑洞的工作（见文献[Ahmed:2026ufj]）启发，我们重新研究一般双荷部分，证明对于满足$2b>a$的非线性耦合，可构造精确解析双荷黑洞解，无需限制$b=a/2$；质量函数以Lauricella超几何函数的闭式形式表达，尤其针对欧拉-海森堡耦合$b=7a/4$可得到精确双荷解，当$2b\rightarrow a$时可复现文献[Ahmed:2026ufj]的解。
英文摘要
Recently, we constructed analytical purely electric and purely magnetic black-hole solutions in Einstein--Euler--Heisenberg theory, while the corresponding dyonic solutions were obtained numerically \cite{Luo:2026srx}. Motivated by the recent analytical construction of a dyonic black hole at the special coupling locus $b=a/2$ \cite{Ahmed:2026ufj}, we revisit the general dyonic sector. We show that exact analytical dyonic black-hole solutions can be constructed for nonlinear couplings satisfying $2b>a$, without imposing the restriction $b=a/2$. The mass function is expressed in closed form in terms of the Lauricella hypergeometric function. In particular, our construction yields an exact dyonic solution for the Euler--Heisenberg coupling $b=7a/4$. The solution of Ref.~\cite{Ahmed:2026ufj} is recovered in the limiting case $2b\rightarrow a$.
Comments7 pages, no figure
