标题： 稀疏子与2 + 1爱因斯坦麦克斯韦场最小耦合；静态循环对称黑洞 显示英文标题

标题： Dilaton minimally coupled to 2 + 1 Einstein Maxwell fields; stationary cyclic symmetric black holes

摘要： 使用施瓦茨希尔德坐标框架，在2 + 1爱因斯坦引力与电麦克斯韦场和对数依赖于径向坐标的稀释子场耦合的情况下，存在指数势能，推导出爱因斯坦麦克斯韦稀释子方程的一般解，并将其识别为Chan Mann带电稀释子解。 通过在获得的带电稀释子度规上应用一般的SL(2;R)变换，生成了一族静止的稀释子解；这些解具有五个参数：稀释子常数和宇宙学常数、电荷、动量和质量，对于某些值而言。 所有展示的解都通过它们在空间无穷远处的级数展开来表征其准局部能量、质量和动量。 确定这些解的结构函数随着径向坐标的增加而增加，因此它们在无穷远处不表现出dS AdS行为。此外，麦克斯韦场、能量-动量和Cotton张量的代数结构被明确给出。 显示英文摘要

摘要： Using the Schwarzschild coordinate frame for a static cyclic symmetric metric in 2 + 1 Einstein gravity coupled to a electric Maxwell field and a dilaton logarithmically depending on the radial coordinate in the presence of an exponential potential the general solution of the Einstein Maxwell dilaton equations is derived and it is identified with the Chan Mann charged dilaton solution. Via a general SL(2;R) transformation, applied on the obtained charged dilaton metric, a family of stationary dilaton solutions has been generated; these solutions possess five parameters: dilaton and cosmological constants , charge, momentum, and mass for some values of them. All the exhibited solutions have been characterized by their quasi-local energy, mass, and momentum through their series expansions at spatial infinity. The structural functions determining these solutions increase as the radial coordinate does, hence they do not exhibit an dS AdS behavior at infinity Moreover, the algebraic structure of the Maxwell field, energy-momentum, and Cotton tensors is given explicitly.