论文标题
紧凑型和不对称配置的厚麸皮配置对$ f \ left（r，t \ right）$重力的标量张量表示
Impact of compactlike and asymmetric configurations of thick branes on the scalar-tensor representation of $f\left(R,T\right)$ gravity
论文作者
论文摘要
在这项工作中，我们研究了braneworld模型中的braneworld模型，其中$ f \ left（r，t \右）$重力理论，该动作取决于ricci scalar $ r $的函数以及压力 - 能量张量$ t $的痕迹。我们探索了该理论的所谓标量张量表示，其中将$ r $和$ t $的依赖性交换为两个辅助真实的标量字段。我们引入了一阶形式主义，将辅助场与brane的源场联系起来，并分析了当前关注的四种不同可能性在压实和brane的不对称方面。我们研究了辅助场的行为及其在四个情况下的每一个中的稳定性。对于源场的解决方案紧凑行为的模型，辅助场表现出混合结构，在源构型描述的紧凑区域内外表现出不同的行为。特别是，我们发现，在几何形状受源场强烈影响的模型中，辅助场的溶液得到了显着修改。此外，对于能够发挥不对称特征的模型，两个辅助场还响应控制系统不对称的参数的修改。
In this work we study braneworld models in generalized $f\left(R,T\right)$ gravity theories where the action depends on a function of the Ricci scalar $R$ and the trace of the stress-energy tensor $T$. We explore the so-called scalar-tensor representation of the theory, where the dependence on $R$ and $T$ are exchanged for two auxiliary real scalar fields. We introduce a first-order formalism to relate the auxiliary fields with the source field of brane and analyze four distinct possibilities of current interest regarding compactification and asymmetry of the brane. We investigate the behavior of the auxiliary fields and their stability in each one of the four cases. For the models where the solution of the source field engenders compact behavior, the auxiliary fields exhibit a hybrid structure, behaving differently inside and outside the compact region described by the source configuration. In particular, we found that the solutions of the auxiliary fields are significantly modified in models where the geometry is strongly influenced by the source field. Moreover, for the model capable of engendering asymmetric features, the two auxiliary fields also respond to modifications on the parameter that controls the asymmetry of the system.
