Bianchi type-VI0 string cosmological model in Saez Ballester theory with variable Λ

This work is the result of examining Bianchi VI_0 string cosmology model, including the Saez-Ballester theory (SBT) of gravity & varying cosmological constant. Energy-momentum tensor developed by Letelier [1] for such strings is utilized for constructing massive string cosmic models. We presumed that the model’s expansion (θ) scales with the shear tensor (σij) component σ11 and solution to Einstein’s field equations (EFE) has been procured using a functional relationship based on the Hubble parameter H. This leads to a model of the cosmos in which the expansion is initially decelerated but later accelerates up. Research indicates that strings predominated in the early cosmos until eventually vanishing for sufficiently long periods of time, which is consistent with observations made by astronomers today. The model’s geometrical and physical characteristics are also thoroughly covered.