Stability analysis of LRS Bianchi type-I cosmological model with varying Λ

In this paper, we deal with locally rotationally symmetric Bianchi type-I cosmological model with varying cosmological constant. Here, we have considered two models. In Model I, we have analysed total linear stability analysis for linear coupling between the dark sector of the Universe whereas in Mo...

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Bibliographic Details
Published inPramāṇa Vol. 97; no. 1
Main Authors Angit, S, Raushan, Rakesh, Chaubey, R
Format Journal Article
LanguageEnglish
Published New Delhi Springer India 23.02.2023
Subjects
Astronomy
Astrophysics and Astroparticles
Observations and Techniques
Physics
Physics and Astronomy
dynamical systems
centre manifold theory
cosmological constant
04.20.-q
coupling parameter
Locally rotationally symmetric Bianchi type-I Universe
98.80.Cq
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Summary:In this paper, we deal with locally rotationally symmetric Bianchi type-I cosmological model with varying cosmological constant. Here, we have considered two models. In Model I, we have analysed total linear stability analysis for linear coupling between the dark sector of the Universe whereas in Model II, the quadratic coupling between the dark sector of the Universe is considered. The cosmological history of the models is studied by finding all the critical points and analysing their local stability. We study the behaviour of all the critical points of the model when they are hyperbolic in nature using the linear Jacobi stability analysis and when they are non-hyperbolic in nature using centre manifold theory. The perseverance of the equilibrium points is illustrated in phase portraits.
ISSN:0973-7111
0973-7111
DOI:10.1007/s12043-023-02513-4