AI 中文总结
研究在球对称下使德西特和反德西特时空磁化，先解弱场麦克斯韦方程，再考虑强场爱因斯坦 - 麦克斯韦引力，通过特定变换获类似梅尔文磁宇宙的解，还研究了解的相关性质。
AI 中文摘要
我们试图在球对称情况下使德西特（dS）和反德西特（AdS）时空磁化。首先考虑弱场情况，求解麦克斯韦方程以在固定的dS/AdS背景中找到磁场。对于强磁场，考虑具有引力流体源的爱因斯坦 - 麦克斯韦引力。考虑磁场的引力反作用，强场使dS/AdS时空变形，产生类似于梅尔文磁宇宙的dS/AdS型解。该解通过类似哈里森的变换以及流体能量和压力的适当变换获得。研究了该解的一些物理和几何性质。
英文摘要
We attempt to magnetise the de Sitter (dS) and Anti-de Sitter (AdS) spacetimes in spherical symmetry. First, the weak field case is considered where Maxwell's equation is solved to find magnetic fields in fixed dS/AdS backgrounds. For strong magnetic fields we consider Einstein-Maxwell gravity with a gravitating fluid source. With gravitational backreaction of the magnetic field taken into account, the strong fields deform the dS/AdS spacetime, resulting in a dS/AdS-type analogue of the Melvin magnetic universe. This solution is obtained via a Harrison-like transformation, along with appropriate transformations of the fluid energy and pressures. Some of its physical and geometrical properties of the solution are studied.
Comments32 pages, 9 figures
