We consider a model with two real Maxwell fields (or equivalently, a complex Maxwell field) minimally coupled to Einstein's gravity with a negative cosmological constant in four spacetime dimensions. Assuming a specific harmonic dependence of the vector fields, we show the existence of asymptotically anti-de Sitter (AdS) self-gravitating boson-star–like solitonic solutions, which are static and axially symmetric. Analytical solutions are found in the test-field limit, where the Maxwell equations are solved on a fixed AdS background. The fully nonlinear solutions are constructed numerically.

中文翻译：

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Einstein-（complex）-Maxwell 静态玻色子星在 AdS 中


我们考虑一个模型，它有两个真实的麦克斯韦场（或者等效地，一个复杂的麦克斯韦场），与爱因斯坦的引力最小耦合，在四个时空中有一个负宇宙学常数。假设矢量场具有特定的谐波依赖性，我们展示了渐近反 de Sitter （AdS） 自引力玻色星样孤子解的存在，它们是静态且轴对称的。解析解位于测试场极限中，其中 Maxwell 方程在固定的 AdS 背景上求解。完全非线性解是用数值构造的。