We analyze the effective field equations of the Randall-Sundrum braneworld coupled with a Klein-Gordon scalar field through the minimal geometric deformation decoupling method (MGD-decoupling). We introduce two different ways to apply the MGD-decoupling method to obtain new solutions for this enlarged system. We also compare the behavior of the new solutions with those obtained directly from the Randall-Sumdrum braneworld without coupling to the scalar field.

中文翻译：

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引力解耦框架下的Braneworld-Klein-Gordon系统

我们通过最小几何变形解耦方法（MGD-解耦）分析了 Randall-Sundrum 膜世界与 Klein-Gordon 标量场耦合的有效场方程。我们介绍了两种不同的方法来应用 MGD 去耦方法来为这个扩大的系统获得新的解决方案。我们还将新解决方案的行为与直接从 Randall-Sumdrum 膜世界获得的行为进行了比较，而无需与标量场耦合。