%0 Journal Article %A Pyotr Tsyba and Olga Razina and Ertan Güdekli and Ratbay Myrzakulov %D 2015 %J International Journal of Physical and Mathematical Sciences %B World Academy of Science, Engineering and Technology %I Open Science Index 98, 2015 %T Conformal Invariance in F (R, T) Gravity %U https://publications.waset.org/pdf/10000996 %V 98 %X In this paper we consider the equation of motion for the F (R, T) gravity on their property of conformal invariance. It is shown that in the general case, such a theory is not conformal invariant. Studied special cases for the functions v and u in which can appear properties of the theory. Also we consider cosmological aspects F (R, T) theory of gravity, having considered particular case F (R, T) = μR+νT^2. Showed that in this case there is a nonlinear dependence of the parameter equation of state from time to time, which affects its evolution. %P 107 - 110