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Stability analysis of LRS Bianchi type-I cosmological model with varying \(\Lambda \)

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Abstract

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.

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Acknowledgements

The authors are thankful to the anonymous reviewer for the constructive remarks, which helped us to improve the paper. RC is thankful to the Incentive Grant under IOE, BHU for financial assistance. AS is thankful to UGC, New Delhi for its support to this work through a Senior Research Fellowship.

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Authors and Affiliations

  1. Centre for Interdisciplinary Mathematical Sciences, Institute of Science, Banaras Hindu University, Varanasi, 221 005, India

    S Angit, Rakesh Raushan & R Chaubey

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  1. S Angit
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  2. Rakesh Raushan
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  3. R Chaubey
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Correspondence to R Chaubey.

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Angit, S., Raushan, R. & Chaubey, R. Stability analysis of LRS Bianchi type-I cosmological model with varying \(\Lambda \). Pramana - J Phys 97, 42 (2023). https://doi.org/10.1007/s12043-023-02513-4

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  • DOI: https://doi.org/10.1007/s12043-023-02513-4

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