论文标题
在MGD背景下的常规解耦部门和外部解决方案
Regular decoupling sector and exterior solutions in the context of MGD
论文作者
论文摘要
我们通过最小的几何变形方法实现了重力解耦，并通过在脱钩部门的Tolman-Oppenheimer--oppenheimer-volkoff方程中施加规律性条件来探索其对外部解决方案的影响。我们获得的是，可以用涉及种子解决方案度量的$ g_ {tt} $组件的积分来形式表示解耦函数。作为一个特别的例子，我们通过使用Schwarzschild外观作为种子来实现该方法，并获得扩展几何形状的渐近行为对应于具有恒定曲率的歧管。
We implement the Gravitational Decoupling through the Minimal Geometric Deformation method and explore its effect on exterior solutions by imposing a regularity condition in the Tolman--Oppenheimer--Volkoff equation of the decoupling sector. We obtain that the decoupling function can be expressed formally in terms of an integral involving the $g_{tt}$ component of the metric of the seed solution. As a particular example, we implement the method by using the Schwarzschild exterior as a seed and we obtain that the asymptotic behavior of the extended geometry corresponds to a manifold with constant curvature.
