arXiv 2209.010172022-09-01gr-qc

修正引力下带电动力耗散圆柱结构的复杂性分析

Complexity Analysis of Charged Dynamical Dissipative Cylindrical Structure in Modified Gravity

M. Sharif, Tayyab Naseer

备注：: 30 pages, no figure
发表信息：: Eur. Phys. J. Plus 137(2022)947

摘要：

本文在标准引力模型$\mathcal{R}+Φ\mathcal{Q}$（$Φ$是耦合参数，$\mathcal{Q}=\mathcal{R}_{φ\vartheta}\mathcal{T}^{φ\vartheta}$）中，讨论了动力学荷电耗散圆柱几何中某些标量因子用物质变量唯一表示的公式，并通过对黎曼张量的正交分解计算了四个标量。我们发现，只有$\mathcal{Y}_{TF}$涉及不均匀的能量密度，热通量，电荷和压力各向异性加上修改后的修正，因此称之为所考虑的分布的复杂性因素。讨论了两种演化模式对圆柱动力学的研究。然后，我们采取同源的条件与$\mathcal{Y}_{TF}=0$计算未知的度量电位的存在和不存在的热耗散。通过施加一些约束，在整个演化过程中也检查了后一条件的稳定性准则。我们的结论是电荷和修正理论的影响产生了更复杂的系统复杂系统。

英文摘要：

This article focuses on the formulation of some scalar factors which are uniquely expressed in terms of matter variables for dynamical charged dissipative cylindrical geometry in a standard gravity model $\mathcal{R}+Φ\mathcal{Q}$ ($Φ$ is the coupling parameter, $\mathcal{Q}=\mathcal{R}_{φ\vartheta}\mathcal{T}^{φ\vartheta}$) and calculates four scalars by orthogonally decomposing the Riemann tensor. We find that only $\mathcal{Y}_{TF}$ involves inhomogeneous energy density, heat flux, charge and pressure anisotropy coupled with modified corrections, and thus call it as complexity factor for the considered distribution. Two evolutionary modes are discussed to study the dynamics of cylinder. We then take the homologous condition with $\mathcal{Y}_{TF}=0$ to calculate unknown metric potentials in the absence as well as presence of heat dissipation. The stability criterion of the later condition is also checked throughout the evolution by applying some constraints. We conclude that the effects of charge and modified theory yield more complex system.

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