$$\boldsymbol{f(R,T)}$$ 引力宇宙学

IF 1.2 4区 物理与天体物理 Q3 ASTRONOMY & ASTROPHYSICS Gravitation and Cosmology Pub Date : 2024-04-04 DOI:10.1134/S0202289324010055
I. S. Farias, P. H. R. S. Moraes
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引用次数: 0

摘要

摘要目前,为了解释宇宙的加速膨胀阶段,人们提出了几种替代方法,其中最常见的是暗能量模型和替代引力理论。尽管这些方法所依据的物理层面大相径庭,但事实证明,它们都能与当前宇宙学观测的数据相吻合,从而导致这些模型之间的巨大退化。因此,在获得更高的实验精度证据之前,更保守的独立于模型的方法是打破这种退化的宇宙学模型图景的有用工具。作为宇宙运动学研究的宇宙学是这方面最受欢迎的候选方法。在本文中,我们展示了如何在该理论的保守情景下构建引力(f(R,T))理论的宇宙学方程,其中\(R\)是利玛窦曲率标量,\(T\)是能矩张量的迹。这些方程将当前时间的 \(f(R,T)\) 函数及其导数与宇宙参数 \(q_{0}\)、 \(j_{0}\)和 \(s_{0}\)联系起来。此外,我们还展示了这些方程如何在不同的暗能量情景下书写,从而有助于区分它们。我们还展示了如何利用这些宇宙方程来约束不同的 \(f(R,T)\) 引力模型。
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Cosmography of \(\boldsymbol{f(R,T)}\) Gravity

Currently, in order to explain the accelerated expansion phase of the Universe, several alternative approaches have been proposed, among which the most common are dark energy models and alternative theories of gravity. Although these approaches rest on very different physical aspects, it has been shown that both can be in agreement with the data in the current status of cosmological observations, thus leading to an enormous degeneration among these models. Therefore, until evidence of higher experimental accuracy is available, more conservative model-independent approaches are a useful tool for breaking this degenerated cosmological models picture. Cosmography as a kinematic study of the Universe is the most popular candidate in this regard. In this paper, we show how to construct the cosmographic equations for the \(f(R,T)\) theory of gravity within a conservative scenario of this theory, where \(R\) is the Ricci curvature scalar, and \(T\) is the trace of the energy-moment tensor. Such equations relate the \(f(R,T)\) function and its derivatives at current time \(t_{0}\) to the cosmographic parameters \(q_{0}\), \(j_{0}\), and \(s_{0}\). In addition, we show how these equations can be written within different dark energy scenarios, thus helping to discriminate among them. We also show how different \(f(R,T)\) gravity models can be constrained using these cosmographic equations.

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来源期刊
Gravitation and Cosmology
Gravitation and Cosmology ASTRONOMY & ASTROPHYSICS-
CiteScore
1.70
自引率
22.20%
发文量
31
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 Peoples’ 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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