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Dynamics of the universe with variable parameters that govern the gravitational interactions

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Abstract

The present study investigates the Friedmann–Lemaitre–Robertson–Walker models (often FLRW models) with time varying G and \(\Lambda \) in the general theory of relativity. In this communication the Einstein field equations have been solved by considering the deceleration parameter q(t) as a varying function of time t and the Hubble parameter H defined as \(q=-l(t-t_0)+\beta -1\) and \(q=-1+\frac{2\alpha (H-1)}{H}\), where \(l,t_0,\beta , \alpha \) are non-negative constants. We have analyzed the values of different constants that will generate a transition for the universe from an early decelerating phase to a recent acceleration phase. The physical and graphic behaviour have also been planned to study in this communication.

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Acknowledgements

Authors are very indebted to the editor and the anonymous referees for their constructive comments and suggestions to improve the research quality of this manuscript. We are also thankful to our organization i.e., SLIET, Longowal.

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  1. Department of Mathematics, Sant Longowal Institute of Engineering and Technology, Longowal, Punjab, 148106, India

    R. K. Mishra & Navya Jain

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  1. R. K. Mishra
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Correspondence to R. K. Mishra.

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Mishra, R.K., Jain, N. Dynamics of the universe with variable parameters that govern the gravitational interactions. Gen Relativ Gravit 56, 26 (2024). https://doi.org/10.1007/s10714-024-03211-1

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