Inflation from the Symmetry of the Generalized Cosmological Model

Abstract

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, one of the solutions including the Starobinsky model. For these models, it is shown that one can obtain both power-law and exponential solutions for the scale factor from the Euler–Lagrange equations. In this case, the scalar field φ has similar time dependences, exponential and exponential. The resulting form of the Lagrangian of the model allows us to consider it as a model with R2 or X2. However, it is also shown that previously less studied models with a non-minimal relationship between R and X are important, as one of the possible models. It is shown that in this case the power-law model can have a limited evolutionary period with a negative value of the kinetic term.

f(R,ϕ,X) Kütleçekiminde Ultra Yavaş Dönüşlü Enflasyon Dinamikleri

“…In this study, in high energy era of the universe, we applied the ultra-slow-roll condition to a model containing mixed terms in the background of gravity 𝑓(𝑅, 𝜙, 𝑋) (Odintsov and Oikonomou, 2019;Hwang and Noh, 2005;Tsujikawa, 2007;Keskin 2018;Korunur, 2016;Bahamonde et al, 2015;Yerzhanov et al, 2021;Wu, 2021;Kaczmarek and Szczesniak, 2020;Salti et al, 2016). We found that the inflation observables that occur in the background of gravity in the high energy era of the universe with an DOI:10.29132/ijpas.1381836 exponential scalar potential are in agreement with Planck 2018 data.…”