论文标题
四维爱因斯坦 - 克莱因 - 戈登系统的经典静态解决方案的全球存在
Global existence of classical static solutions of four dimensional Einstein-Klein-Gordon system
论文作者
论文摘要
在本文中，我们证明了爱因斯坦重力理论的经典静态解的全球存在，并结合了一个空间允许球形对称性的真实标量场。然后可以将运动方程式简化为单个一阶不分化方程。首先，我们获得解决方案的衰减估计值。然后，为了证明全局存在，我们在适当的函数空间中使用收缩映射定理。
In this paper we prove the global existence of classical static solutions of Einstein gravitational theory coupled to a real scalar field where the spacetime admits spherically symmetry. The equations of motions can then be reduced into a single first-order integro-differential equation. First, we obtain the decay estimates of the solutions. Then, in order to prove the global existence, we use the contraction mapping theorem in the appropriate function spaces.
