Constraining the parameters of modified Chaplygin gas in Brans–Dicke theory

Abstract

Abstract We have explored the modified Chaplygin gas (MCG) in the background of Brans–Dicke theory in presence of radiation and dark matter. We have assumed that the MCG, radiation and dark matter are conserved separately. To investigate the fitting observational data, we constrain the model using current observations and then compare with Λ CDM model in Einstein’s gravity and in BD theory using the information criteria (AIC nd BIC). We have used the JLA sample of SNIa observation, Planck 2015 data of CMB observation, BAO data and Hubble constant H 0 measurement. The best fit parameters for Λ CDM model and MCG model in BD theory are obtained by SNIa+CMB+BAO+ H 0 joint data analysis. Also, the minimum values of χ 2 function have been calculated. We have plotted the contour figures for different confidence levels 66%, 90% and 99% in Λ CDM model and MCG model separately. Finally, we have analyzed △ AIC and △ BIC for Λ CDM and MCG models in Einstein’s gravity and in BD theory.