Dynamics of Cosmic String and Domain Wall Cosmological Model with aspecial form of deceleration parameter

Abstract:In the present study, we consider Bianchi Type III space time in presence of Cosmic stringand Domain wall in theframework of , theory of gravitation. We have considered a particular form, , = + 2, of , theory.Herewe use special form of deceleration parameter to solve the obtained modified field equations in both, Cosmicstring and domain wall.We discussed the physical properties of the models. Additionally, we use the equation of state (EoS)parameter, the jerk parameter, the statefinder parametersand diagnostic parameter as analytical tools to understand theevolution of the Universe in this modified gravity frameworkand found that the model exhibited quintessence-likebehavior.This research offers significant insights into the anisotropic behaviour of the Universe and effectively describes thecosmic acceleration observed during late times.Our findings are then compared to recent observational data and are found tobe in agreement with the ΛCDM model.