Cosmic and thermodynamic study of non-canonical scalar field in parameterized modified gravity

Abstract

Abstract Cosmological and thermodynamic implications of non-canonical scalar field are investigated in the cubic gravity by assuming various parameterizations (linear, Chevallier-Polarski-Linder and Jassal-Bagla-Padmanabhan) and recently proposed entropies (Tsallis and Sharma-Mittal). We develop the expressions for Hubble (H) and deceleration (q) parameters in each case and find consistent values with the observational data as H 0 ≃ 67.0, q 0 = − 0.55 ± 0.15. We investigate the perturbed squared speed of sound ( C s 2 ) parameter in terms of redshift parameter (z) which leads to the stability for all models. It is also found that the generalized second law of thermodynamics holds for Tsallis as well as for Sharma-Mittal entropies in all the cases of parameterizations.