It is shown that the inflationary model is the result of the symmetry of the generalized F(R, T, X, ϕ)-cosmological model using the Noether symmetry. It leads to a solution, a particular case of which is Starobinsky’s cosmological model. It is shown that even in the more particular case of cosmological models F(R, X, ϕ) and F(T, X, ϕ) the Monge–Ampère equation is still obtained, ...

We investigated the gravity model F (R, T), which interacts with a fermion field in a uniform and isotropic flat spacetime FLRW. The main idea and purpose of the work done was to create a mathematical model and find a particular solution for the scale factor a, since it describes the dynamics of the evolution of the Universe. The solutions for this universe are obtained using ...

Yerzhanov, K.; Bauyrzhan, G.; Altaibayeva, A.; Myrzakulov, R. Inflation from the Symmetry of the Generalized Cosmological Model. Symmetry 2021, 13, 2254. https:// doi.org/10.3390/sym13122254

It is shown that the inflationary model is the result of the symmetry of the generalized F(R, T, X, ϕ)-cosmological model using the Noether symmetry. It leads to a solution, a particular case of which is Starobinsky’s cosmological model. It is shown that even in the more particular case of cosmological models F(R, X, ϕ) and F(T, X, ϕ) the Monge–Ampère equation is still obtained, ...

It is shown that the inflationary model is the result of the symmetry of the generalized F(R, T, X, ϕ)-cosmological model using the Noether symmetry. It leads to a solution, a particular case of which is Starobinsky’s cosmological model. It is shown that even in the more particular case of cosmological models F(R, X, ϕ) and F(T, X, ϕ) the Monge–Ampère equation is still obtained, ...