Prediction of Super-Exponentially Accelerated Universe in a Friedmann–Lemaitre–Robertson–Walker Metric

IF 1.2 4区 物理与天体物理 Q3 ASTRONOMY & ASTROPHYSICS Gravitation and Cosmology Pub Date : 2024-08-23 DOI:10.1134/S0202289324700221
Giridhari Deogharia, Sandip Dutta
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Abstract

A coupled model of variable-modified Chaplygin gas (as a candidate of dark energy) and dark matter is assumed in the background of the Friedmann–Lemaitre–Robertson–Walker universe. Firstly, a two-dimensional autonomous dynamical system is considered for a flat universe after determining some suitable dimensionless parameters. The evolution of those parameters along with the deceleration parameter is observed. Next, the evolution of matter and energy density parameters is studied for variational coupling parameters. Phase portrait analysis is performed to explain the present as well as future expansion of the universe. Secondly, both three- and four-dimensional dynamic systems are constructed when the evolution of spatially homogeneous and isotropic model of the universe is considered, which includes the cosmological constant and three-curvature symmetry surfaces. For the three-dimensional system, updates of dimensionless parameters along with deceleration parameters are analyzed for variational coupling parameters with respect to progression of the universe. Again, the evolution of the deceleration parameter is studied for different values of \(n\). Stability analysis is carried out for the concerned dynamical system with the help of eigenvalues. The four-dimensional dynamical system is remarkable as it helps to study the evolution of \(\Lambda\) density along with other parameters. Lastly, for the concerned dynamical system, the evolution of matter and energy density parameters is analyzed for different values of \(c\) to study whether or not the coupling parameters affect the ultimate evolution of the universe.

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弗里德曼-勒梅特尔-罗伯逊-沃克公设中的超指数加速宇宙预测
摘要 在弗里德曼-勒梅特尔-罗伯逊-沃克宇宙的背景下,假定了可变修正的查普利金气体(作为暗能量的候选者)和暗物质的耦合模型。首先,在确定了一些合适的无量纲参数之后,考虑了一个平坦宇宙的二维自主动力系统。观察了这些参数与减速参数的演化过程。接着,研究了变异耦合参数下物质和能量密度参数的演变。通过相位肖像分析来解释宇宙现在和未来的膨胀。其次,在考虑宇宙空间均匀和各向同性模型的演化时,构建了三维和四维动态系统,其中包括宇宙学常数和三曲率对称面。对于三维系统,分析了无量纲参数和减速参数的更新,以及宇宙演化过程中的变异耦合参数。同样,研究了减速参数在不同的 \(n\) 值下的演变。在特征值的帮助下,对相关动力系统进行了稳定性分析。四维动力系统非常重要,因为它有助于研究 \(\Lambda\) 密度与其他参数的演变。最后,针对相关动力系统,分析了不同值的()物质和能量密度参数的演化,以研究耦合参数是否会影响宇宙的最终演化。
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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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