Abstract
In this current study, we explore the modified homogeneous cosmological model in the background of LRS Bianchi type-I space–time. For this purpose, we employ the Homotopy Perturbation Method (HPM). HPM is an analytical-based method. Further, we calculated the main field equations of the cosmological model LRS Bianchi type-I space–time. Furthermore, we discuss the necessary calculations of HPM. Therefore, we investigate the analytical solution of our problem by adopting HPM. In this response, we discuss five different values of parameter n. We also give a brief discussion about solutions. The main purpose of this study is to apply the application of HPM in the cosmological field.
Highlights
It is fact that the analytical treatment of cosmological models is a challenging task
We have studied the LRS Bianchi type-I space–time and calculated the fields equations
We have calculated a cosmological model, which was presented in Equation (17)
Summary
It is fact that the analytical treatment of cosmological models is a challenging task. As p increases to 1, the system goes to a sequence of deformation, the solution of each of which is close to that at the previous stage of the deformation, the system takes the original form of the equation at p = 1 and final stage of deformation gives the desired solutions This method has been broadly considered over several years and effectively employed by various researchers [10,11,12,13,14,15,16,17]. The HPM has a very rapid convergence of the solution series in most cases considered so far in literature In this current study, we discuss this method in cosmology in the scope of the locally rotational symmetric Bianchi type-I model [18] to find the solutions. We shall summarise our main results and achievements
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