论文标题
$ f中各向异性多层的研究
Study of Anisotropic Polytropes in $f(\mathcal{R},\mathrm{T})$ Theory
论文作者
论文摘要
本文研究了各向同性以及各向异性多粒子恒星在曲率 - 物质耦合重力中的一般形式和应用。为此，我们分别考虑了内部和外部区域中的静态球形和施瓦茨柴尔德的空间。我们使用两个状态的多趋势方程来获得场方程的物理可行解决方案。针对各向同性和各向异性病例开发了静水平衡和车道填充方程。我们研究各向异性压力对恒星结构的影响。此外，我们通过能量条件和稳定性标准以图形方式检查各向同性和各向异性多层性的物理行为。最后，我们讨论托尔曼质量以探索模型的某些特征。结论是，与一般相对论相比，该理论中发现了更可行和稳定的多层。
This paper examines the general formalism and applications of isotropic as well as anisotropic polytropic stars in curvature-matter coupled gravity. For this purpose, we consider static spherical and Schwarzschild spacetimes in the interior and exterior regions, respectively. We use two polytropic equations of state to obtain physically viable solutions of the field equations. The hydrostatic equilibrium and Lane-Emden equations are developed for both isotropic as well as anisotropic cases. We study the effects of anisotropic pressure on the stellar structure. Moreover, we graphically inspect the physical behavior of isotropic as well as anisotropic polytropes through energy conditions and stability criterion. Finally, we discuss Tolman mass to explore some characteristics of the models. It is concluded that more viable and stable polytropes are found in this theory as compared to general relativity.
