我们发现了一个新的具有宇宙项的Einstein-麦克斯韦方程组的齐次解。时空流形是$R \times S^3$。时空度规允许一个等距的单传递等距群$G = R \times SU(2)$，并且是彼得罗夫I型的。时空是测地线完备的，并且是全局双曲的。电磁场是非零的和非继承的：它只是相对于$SU(2)$子群是不变的，并且在静止的参考系中是时间相关的。
英文摘要：
We find a new homogeneous solution to the Einstein-Maxwell equations with a cosmological term. The spacetime manifold is $R \times S^3$. The spacetime metric admits a simply transitive isometry group $G = R \times SU(2)$ of isometries and is of Petrov type I. The spacetime is geodesically complete and globally hyperbolic. The electromagnetic field is non-null and non-inheriting: it is only invariant with respect to the $SU(2)$ subgroup and is time-dependent in a stationary reference frame.
Exact solutions of Maxwell vacuum equations in null homogeneous Petrov spaces with non-solvable motions groups
Tomsk State Pedagogical University（托木斯克国立师范学院）；International Center of Gravity and Cosmos, Tomsk State University of Control Systems and Radio Electronics (TUSUR)（国际引力与宇宙学中心，托木斯克州立控制系统和无线电电子大学）
Quasi-homogeneous black hole geometrothermodynamics in Einstein-Maxwell theory
Instituto de Ciencias Nucleares, Universidad Nacional Autònoma de Mèxico（墨西哥国立自治大学核科学研究所）；Dipartimento di Fisica and ICRA, Università di Roma “La Sapienza”（罗马第一大学物理系及ICRA）；Al-Farabi Kazakh National University（阿尔法拉比哈萨克国立大学）
Exact solutions of Maxwell vacuum equations in null homogeneous Petrov spaces with solvable motions groups
Tomsk State Pedagogical University (TSPU), Institute, of Scietific Research and Development（托木斯克国立师范学院）；Tomsk State University of Control Systems and Radio Electronics (TUSUR)（托木斯克国立控制系统与无线电电子大学）
