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Contrasting the bulk viscous model with the standard \(\Lambda\)CDM using Bayesian statistics

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Abstract

The causal dissipative model is a plausible choice to explain the late accelerated epoch of the universe. At the same time, \(\Lambda\)CDM is considered the standard model to explain the cosmological data corresponding to the late evolution of the universe. We consider a bulk viscous model in which dissipation is driven by the bulk viscosity \(\zeta =\alpha \rho ^{1/2}\), described using the full causal Israel-Stewart theory. We computed the model parameters using the latest observational data (Pantheon). We contrasted this model with \(\Lambda\)CDM model for the late accelerated phase using the Bayesian inference method. The Bayes factor was obtained by calculating the likelihood for Pantheon data. Suitable prior values were assumed for model parameters to calculate the likelihood. It shows that the evidence for \(\Lambda\)CDM against this viscous model is very strong according to the Jeffreys scale.

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Data Availability

The data that support the findings of this study are openly available at the following URL/DOI: https://doi.org/10.17909/T95Q4X.

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Acknowledgements

One of the authors VMS is thankful to CSIR for financial support through CSIR SRF fellowship.

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Correspondence to Titus K. Mathew.

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Shareef, V.M., Mohan, N.D.J. & Mathew, T.K. Contrasting the bulk viscous model with the standard \(\Lambda\)CDM using Bayesian statistics. Astrophys Space Sci 367, 46 (2022). https://doi.org/10.1007/s10509-022-04072-3

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  • DOI: https://doi.org/10.1007/s10509-022-04072-3

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