Constant-roll inflation field with Tsallis entopic proposal

A. I. Keskin; K. Kurt

doi:10.1140/epjc/s10052-022-11159-2

2022 Impact factor 4.4

Particles and Fields

Open Access

Eur. Phys. J. C (2023) 83: 72
https://doi.org/10.1140/epjc/s10052-022-11159-2

Regular Article - Theoretical Physics

Constant-roll inflation field with Tsallis entopic proposal

A. I. Keskin^a and K. Kurt

Department of Electrical and Energy, Besiri OSB Vocational School, Batman University, 72060, Batman, Turkey

^a aliihsan.keskin@batman.edu.tr, alikeskin039@gmail.com

Received: 13 October 2022
Accepted: 22 December 2022
Published online: 25 January 2023

Abstract

In 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, , which involves some string-chaotic potential models, , , 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 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.

© The Author(s) 2023

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