Yousaf Z, Bhatti M Z, Khlopov Maxim, Asad H
Department of Mathematics, Quaid-i-Azam Campus, University of the Punjab, Lahore 54590, Pakistan.
Institute of Physics, Southern Federal University, 194 Stachki, 344090 Rostov-on-Donu, Russia.
Entropy (Basel). 2022 Jan 19;24(2):150. doi: 10.3390/e24020150.
This paper is devoted to understanding a few characteristics of static irrotational matter content that assumes hyperbolical symmetry. For this purpose, we use metric f(R) gravity to carry out our analysis. It is noticed that the matter distribution cannot fill the region close to the center of symmetry, thereby implying the existence of an empty core. Moreover, the evaluation of the effective energy density reveals that it is inevitably negative, which could have utmost relevance in understanding various quantum field events. To derive the structure scalars, we perform the orthogonal splitting of the Riemann tensor in this modified gravity. Few relationships among matter variables and both Tolman and Misner Sharp are determined. Through two generating functions, some hyperbolically symmetric cosmological models, as well as their physical interpretations, are studied. To delve deeply into the role of f(R) terms, the model of the less-complex relativistic system of Einstein gravity is presented.
本文致力于理解具有双曲对称性的静态无旋物质内容的一些特征。为此，我们使用度规f(R)引力来进行分析。注意到物质分布无法填充靠近对称中心的区域，从而意味着存在一个空核。此外，有效能量密度的评估表明它不可避免地为负，这在理解各种量子场事件中可能具有极其重要的意义。为了导出结构标量，我们在这种修正引力中对黎曼张量进行正交分解。确定了物质变量与托尔曼和米斯纳 - 夏普之间的一些关系。通过两个生成函数，研究了一些双曲对称宇宙学模型及其物理解释。为了深入探讨f(R)项的作用，还给出了爱因斯坦引力的较简单相对论系统的模型。
