Exact Solutions of Four-Dimensional Metric \(\boldsymbol{f(R)}\) Gravity Depending on Two Variables

IF 1.2 4区物理与天体物理 Q3 ASTRONOMY & ASTROPHYSICS Gravitation and Cosmology Pub Date : 2021-12-14 DOI:10.1134/S0202289321040125

M. Shubina

引用次数: 0

Abstract

We consider the metric \(f(R)\) gravity model for the four-dimensional metric tensor depending on two variables, time and one spacelike coordinate. We obtain exact analytical vacuum solutions for different forms of the function \(f(R)\), which are solutions of cosmological type. These solutions are expressed in terms of arbitrary functions, which, under certain conditions, can be chosen as new variables.

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四维度量的精确解\(\boldsymbol{f(R)}\)重力依赖于两个变量

我们考虑四维度规张量的度规\(f(R)\)重力模型取决于两个变量，时间和一个类空坐标。我们得到了不同形式的函数\(f(R)\)的精确解析真空解，它们都是宇宙学型的解。这些解用任意函数表示，在一定条件下，可以选择任意函数作为新变量。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Gravitation and Cosmology ASTRONOMY & ASTROPHYSICS-

CiteScore

1.70

自引率

22.20%

发文量

审稿时长

>12 weeks

期刊介绍： Gravitation and Cosmology is a peer-reviewed periodical, dealing with the full range of topics of gravitational physics and relativistic cosmology and published under the auspices of the Russian Gravitation Society and Peoplesâ€™ Friendship University of Russia. The journal publishes research papers, review articles and brief communications on the following fields: theoretical (classical and quantum) gravitation; relativistic astrophysics and cosmology, exact solutions and modern mathematical methods in gravitation and cosmology, including Lie groups, geometry and topology; unification theories including gravitation; fundamental physical constants and their possible variations; fundamental gravity experiments on Earth and in space; related topics. It also publishes selected old papers which have not lost their topicality but were previously published only in Russian and were not available to the worldwide research community

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