The anisotropic string cosmological model of Bianchi type I in general relativity

We study the maximum symmetric, Anisotropic, inhomogeneity string theory of Bianchi type I in general relativity. We assume Einstein string space metric depends on two variable expansion, Our four directions and these variable functions are related to the condition, \(a[x,t] = [b(x,t)]^{n}\) $a[x,t]={[b(x,t)]}^n$ where \(c[x,t] = h(x) \times k(t)\) $c[x,t]=h(x)\times k(t)$ & \(b[x,t] = f(x) \times g(t)\) $b[x,t]=f(x)\times g(t)$ metric potential and shear tension are directly proportional to scalar expansion, Our analysis carefully incorporates a condition that links these variable functions to find the deterministic solution. The higher and varied dimensions models’ geometrical and physical characteristics are also looked at.