Scalar field solutions for anisotropic universe models in various gravitation theories

In this study, we have investigated homogeneous and anisotropic Marder and Bianchi type I universe models filled with normal and phantom scalar field matter distributions with. in f(R, T) gravitation theory (T. Harko et al., Phys. Rev. D 84 (2011) 024020). In this model, R is the Ricci scalar and T is the trace of energy-momentum tensor. To obtain exact solutions of modified field equations, we have used anisotropy feature of the universe and different scalar potential models with f(R, T) = R + 2f(T) function. Also, we have obtained general relativity (GR) solutions for normal and phantom scalar field matter distributions in Marder and Bianchi type I universes. Additionally, we obtained the same scalar function values by using different scalar field potentials for Marder and Bianchi type I universe models with constant difference in f(R, T) gravity and GR theory. From obtained solutions, we get negative cosmological term value for V(phi) = V-0 constant scalar potential model with Marder and Bianchi type I universes in GR theory. These results agree with the studies of Maeda and Ohta, Aktas et al. also Biswas and Mazumdar. Finally, we have discussed and compared our results in gravitation theories.