A New Class of Inhomogeneous String Cosmological Models in General Relativity

A new class of solutions of Einstein field equations has been investigated for inhomogeneous cylindrically symmetric space-time with string source. To get the deterministic solution, it has been assumed that the expansion ($θ$) in the model is proportional to the eigen value $σ^{1}_{1}$ of the shear tensor $σ^{i}_{j}$. Certain physical and geometric properties of the models are also discussed.

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