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Phase transition of cosmological model with statistical techniques

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Abstract

In the present communication, we investigated flat Friedmann-Lemaître-Robertson-Walker mathematical model of universe in \(f (R,T )\) theory of gravity with bulk viscous fluid as a source of energy. A system of modified field equations with cosmological constant has been solved by considering time-dependent deceleration parameter (DP) (Mishra et al. in Eur. Phys. J. Plus 127:137, 2012). Suitable assumption yields the scale factor as \(a(t)=(\sinh (\eta t))^{\frac{1}{m}}\), where, \(\eta \) and \(m>0\) are arbitrary constants. The authors have also observed the nature of various energy conditions graphically. In addition, we constrained the model using recent Hubble and Pantheon Type 1a supernova observational data and obtained best fit curves of Hubble parameter \(H(z)\) and apparent magnitude \(m_{B}(z)\) from \(\chi ^{2}\) statistical test. The findings of a constructed model are in good agreement with the recently reported data.

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Acknowledgements

The authors are thankful to the anonymous reviewer for his valuable suggestions and comments for the improvement of this manuscript.

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  1. Department of Mathematics, Sant Longowal Institute of Engineering and Technology, Longowal, 148 106, Punjab, India

    R. K. Mishra & Heena Dua

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  1. R. K. Mishra
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Mishra, R.K., Dua, H. Phase transition of cosmological model with statistical techniques. Astrophys Space Sci 365, 131 (2020). https://doi.org/10.1007/s10509-020-03843-0

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