The nature of gravity and its strength compared with other forces are fundamental challenges faced by the actual science. A path to understand the hierarchy problem of gravity consists in adding an extra dimension to Einstein–Hilbert’s general relativity. Therefore, gravity would be the only force leaking through this region of space–time also known as brane. Despite the success of the mathematical description for the hierarchy issue through simple thin branes, it is also possible to derive a consistent theory of gravity using thick branes. This work unveils a new procedure to determine analytic hybrid thick braneworld models. The discussions were based on the so-called Bloch branes, which are constructed via a two-field model coupled with gravity in five-dimensional space–time. Both fields used to build the Bloch branes depend only on the extra dimension, and the hybrid branes present internal structure, characterizing them as thick. In this work, we were able to derive new analytic thick brane models by using the extension method. Some of these new branes present a Minkowski space–time immersed inside of the fifth dimension. We showed how the symmetry of the emergent branes can be controlled via specific parameters. We also analyzed the stability conditions for each braneworld family, showing possible stable states for gravitons.

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布洛赫膜的扩展方法

引力的性质及其与其他力相比的强度是实际科学面临的基本挑战。理解引力等级问题的途径在于为爱因斯坦-希尔伯特的广义相对论增加一个额外的维度。因此，重力将是唯一通过这个时空区域（也称为膜）泄漏的力。尽管通过简单的薄膜对层次问题的数学描述取得了成功，但也可以使用厚膜推导出一致的重力理论。这项工作揭示了一种确定解析混合厚膜世界模型的新程序。讨论是基于所谓的布洛赫膜，它是通过与五维时空中的重力耦合的两场模型构建的。用于构建布洛赫膜的两个领域都只依赖于额外的维度，而混合膜呈现出内部结构，将它们表征为厚的。在这项工作中，我们能够使用扩展方法推导出新的解析厚膜模型。其中一些新膜呈现出沉浸在第五维内部的闵可夫斯基时空。我们展示了如何通过特定参数控制新兴膜的对称性。我们还分析了每个 braneworld 家族的稳定条件，显示了引力子可能的稳定状态。我们展示了如何通过特定参数控制新兴膜的对称性。我们还分析了每个 braneworld 家族的稳定条件，显示了引力子可能的稳定状态。我们展示了如何通过特定参数控制新兴膜的对称性。我们还分析了每个 braneworld 家族的稳定条件，显示了引力子可能的稳定状态。