论文标题

在自我互动的Brans-Dicke重力中,各向同性和脱钩溶液的复杂性

Isotropization and Complexity of Decoupled Solutions in Self-interacting Brans-Dicke Gravity

论文作者

Sharif, M., Majid, Amal

论文摘要

这项工作的目的是通过在自我互动Brans-Dicke Gravity的背景下通过最小的几何变形来表达两种新的解决方案。我们在各向异性流体分布中引入了一个额外的来源,以生成现有解决方案的新类似物。将径向度量函数转换为将场方程分解为两个集合,使每个数组仅对应于一个源。与原始物质分布相对应的系统是由行为良好的解决方案的度量函数指定的。另一方面,第二组通过对其他物质源施加约束来关闭。为此,我们在新来源上应用了各向同性条件以及消失的复杂性条件。连接处的内部和外部空间的平滑匹配提供了未知常数的值。通过使用Star PSR J1614-2230的质量和半径来检查相应模型的有趣物理特征。得出的结论是,两种扩展都为脱钩参数的某些值产生可行和稳定的模型。

The aim of this work is to formulate two new solutions by decoupling the field equations via a minimal geometric deformation in the context of self-interacting Brans-Dicke gravity. We introduce an extra source in the anisotropic fluid distribution to generate new analogs of existing solutions. The radial metric function is transformed to decouple the field equations into two sets such that each array corresponds to one source only. The system corresponding to the original matter distribution is specified by metric functions of well-behaved solutions. On the other hand, the second set is closed by imposing constraints on the additional matter source. For this purpose, we have applied the isotropization condition as well as vanishing complexity condition on the new source. Smooth matching of interior and exterior spacetimes at the junction provides values of the unknown constants. Interesting physical features of corresponding models are checked by employing the mass and radius of the star PSR J1614-2230. It is concluded that both extensions yield viable and stable models for certain values of the decoupling parameter.

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