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Cosmic Dynamics Beyond Einstein Theory: Mathematical Analysis with f(R, T) Gravity

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Abstract

In this communication, we investigate a space-time model characterized by the FLRW metric with a perfect fluid within the context of the f(R, T) theory of gravity. Our approach involves obtaining precise solutions for the field equations by introducing the deceleration parameter (DP) as a function that depends on the Hubble parameter, incorporating both a linear and a non-linear quadratic time-varying component. Our results indicate a phase transition. Furthermore, we conduct a comparative analysis, examining both the physical and geometric aspects of the proposed model, and provide visual representations of critical parameters. Additionally, we perform an analysis of the singularity condition, energy conditions, and the Om diagnostic to better understand the results.

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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. Navya Jain contributed equally to this work.

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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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Equal contribution from both authors, R.K.Mishra and Navya Jain, is acknowledged in this work.

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Correspondence to R. K. Mishra.

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Mishra, R.K., Jain, N. Cosmic Dynamics Beyond Einstein Theory: Mathematical Analysis with f(R, T) Gravity. Int J Theor Phys 63, 29 (2024). https://doi.org/10.1007/s10773-024-05553-7

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