Constant-roll inflation field with Tsallis entopic proposal

Abstract

AbstractIn this work, we investigate the high-energy era of the universe from the constant-roll condition perspective by taking the Friedmann equation, which is modified by a non-additive Tsallis entropic proposal. In the framework of the observational data, we determine the constant-roll parameter. Under the fixed field condition of the constant-roll parameter, for the wide range of the power-term of the chaotic potentials, $$\sim \phi ^{n}$$ ∼ ϕ n , which involves some string-chaotic potential models, $$n=\frac{2}{3}$$ n = 2 3 , $$n=\frac{4}{5}$$ n = 4 5 , the non-additive (nonextensive) Tsallis parameter is analyzed graphically. The resulting analysis shows that, in addition to a quasi-de Sitter phase, any value of the range $$0.5<n<1.2$$ 0.5 < n < 1.2 points to a dynamical form of the dark energy (quintessence) in the early universe. It implies that n values in the range may be included in string-chaotic potential models. The non-additive Tsallis parameter provides this with the help of its negative values in the constant-roll field.