Two Fluid Axially Symmetric Cosmological Model in f(R) Theory of Gravity

Abstract

Modified theories of gravity specially f(R) theory of gravity plays an important role in the study of universe. Therefore, considering the present situation we study two fluid axially symmetric cosmological model in the metric version of f(R) gravity. The corresponding field equations are deciphered by assuming expansion scalar θ proportional to shear scalar σ which gives A = Bn, A and B are the metric coefficients. Further solutions are obtained by assuming EoS parameter i.e. pm = (γ - 1)ρm, γ = constant, 1 ≤ γ ≤ 2. Physical parameters are also discussed. As well as function of Ricci scalar is also deciphered.