The accelerated expansion in F(G,TμνTμν) gravity

IF 1.5 4区 物理与天体物理 Q3 ASTRONOMY & ASTROPHYSICS Modern Physics Letters A Pub Date : 2024-03-27 DOI:10.1142/s0217732324500275
Mihai Marciu, Dana Maria Ioan
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Abstract

In this paper, the basic Einstein–Hilbert cosmological model is extended by adding a new functional F(G,TμνTμν) in the fundamental action, encoding specific geometrical effects due to a nontrivial coupling with the Gauss–Bonnet invariant (G), and the energy–momentum squared term (TμνTμν). After obtaining the corresponding gravitational field equations for the specific decomposition where F(G,TμνTμν)=f(G)+g(TμνTμν), we have explored the physical features of the cosmological model by considering the linear stability theory, an important analytical tool in the cosmological theory which can reveal the dynamical characteristics of the phase space. The analytical exploration of the corresponding phase space structure revealed that the present model can represent a viable dark energy model, with various stationary points where the effective equation of state corresponds to a de-Sitter epoch, possible explaining the early and late time acceleration of the Universe.

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F(G,TμνTμν) 引力的加速膨胀
本文通过在基本作用中添加一个新函数 F(G,TμνTμν),对基本爱因斯坦-希尔伯特宇宙学模型进行了扩展,该函数编码了由于与高斯-波涅特不变量(G)的非微观耦合以及能量-动量平方项(TμνTμν)而产生的特定几何效应。在得到 F(G,TμνTμν)=f(G)+g(TμνTμν)的具体分解的相应引力场方程之后,我们通过考虑线性稳定理论来探索宇宙学模型的物理特征。线性稳定理论是宇宙学理论中的一个重要分析工具,它可以揭示相空间的动力学特征。通过对相应相空间结构的分析探索,我们发现本模型可以代表一个可行的暗能量模型,其有效状态方程对应于一个去西特纪元,有可能解释宇宙早期和晚期的时间加速。
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来源期刊
Modern Physics Letters A
Modern Physics Letters A 物理-物理:核物理
CiteScore
3.10
自引率
7.10%
发文量
186
审稿时长
3 months
期刊介绍: This letters journal, launched in 1986, consists of research papers covering current research developments in Gravitation, Cosmology, Astrophysics, Nuclear Physics, Particles and Fields, Accelerator physics, and Quantum Information. A Brief Review section has also been initiated with the purpose of publishing short reports on the latest experimental findings and urgent new theoretical developments.
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