Some cosmological models with magnetic field in scalar field cosmologies

In this study, firstly we summarized the Einstein field equations, energy momentum tensor and their types.Then, obtaining some cosmological models with perfect fluid and the magnetized scalar field which is believed to be effective in the early time of the universe, investigation of their solutions and discussion of the physical and the mathematical properties for the obtained solutions were aimed. For this purpose, the Einstein field equations of the Marder metric which represents homogeneous and anisotropic space-time and filled with scalar field containing magnetic field were obtained and their solutions were investigated. Asymptotic behaviors and physical properties of the obtained solutions were examined and the role of the results to the evolution of the universe and explanation of cosmological events were discussed in the framework of current knowledge.