修正\(\boldsymbol{f(R,L_{m})}\)重力与观测约束的精确宇宙学模型

IF 1.2 4区 物理与天体物理 Q3 ASTRONOMY & ASTROPHYSICS Gravitation and Cosmology Pub Date : 2023-09-04 DOI:10.1134/S020228932303012X
Dinesh Chandra Maurya
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引用次数: 1

摘要

这项研究是对具有观测约束的修正\(f(R,L_{m})\)重力中的精确宇宙学模型的研究,其中\(R\)是里奇标量,\(L_{m}\)是完美流体的物质拉格朗日量。我们用具有物质拉格朗日量\(L_{m}=-p\)和\(f(R,L_{m})=R/2+\alpha L_{m}^{n}-\beta\)的平坦FLRW度规得到了场方程,其中\(\alpha\), \(\beta\), \(n\)是正参数。我们用状态方程(EoS) \(p=\omega\rho\)求解了尺度因子\(a(t)\)的场方程,其中\(p\)是各向同性压力,\(\rho\)是能量密度。我们得到了比例因子\(a(t)=k_{0}[\sinh(k_{1}t+k_{2})]^{[2(n+\omega-n\omega]/[3n(1+\omega)]}\),其中\(k_{1}=\frac{\sqrt{3\beta}}{2}\frac{n(1+\omega)}{n+\omega-n\omega}\), \(k_{0}\), \(k_{2}\)是积分常数。利用该尺度因子,我们对四个观测数据集\(H(z)\)、Union 2.1、JLA和baining数据集进行\(\chi^{2}\)检验,分析了具有观测约束的各种宇宙学参数\(\{H_{0},q_{0},j_{0},s_{0},t_{0}\}\)。此外,我们还分析了Om诊断参数。
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Exact Cosmological Models in Modified \(\boldsymbol{f(R,L_{m})}\) Gravity with Observational Constraints

This study is an investigation of exact cosmological models in modified \(f(R,L_{m})\) gravity with observational constraints, where \(R\) is the Ricci scalar, and \(L_{m}\) is the matter Lagrangian for a perfect fluid. We have obtained the field equations using a flat FLRW metric with matter Lagrangian \(L_{m}=-p\) and \(f(R,L_{m})=R/2+\alpha L_{m}^{n}-\beta\), where \(\alpha\), \(\beta\), \(n\) are positive parameters. We have solved the field equations for the scale factor \(a(t)\) with the equation of state (EoS) \(p=\omega\rho\), where \(p\) is the isotropic pressure and \(\rho\) is the energy density. We have obtained the scale factor \(a(t)=k_{0}[\sinh(k_{1}t+k_{2})]^{[2(n+\omega-n\omega]/[3n(1+\omega)]}\), where \(k_{1}=\frac{\sqrt{3\beta}}{2}\frac{n(1+\omega)}{n+\omega-n\omega}\), and \(k_{0}\), \(k_{2}\) are integration constants. Using this scale factor, we have analyzed various cosmological parameters \(\{H_{0},q_{0},j_{0},s_{0},t_{0}\}\) with observational constraints by applying the \(\chi^{2}\) test with four observational datasets \(H(z)\), Union 2.1, JLA and Bined datasets. Also, we have analyzed the Om diagnostic parameter.

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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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