Kinetic Axion f(R) Gravity Phase Space

Author:

Oikonomou Vasilis K.12ORCID,Fronimos Fotis P.1,Razina Olga2,Tsyba Pyotr2

Affiliation:

1. Department of Physics, Aristotle University of Thessaloniki, 54124 Thessaloniki, Greece

2. L.N. Gumilyov Eurasian National University, Astana 010008, Kazakhstan

Abstract

In this work, we studied the phase space of f(R) gravity in the presence of a misalignment axion, including parity violating Chern–Simons terms. We construct the autonomous dynamical system by using appropriate dimensionless variables and find the cosmological attractors of the phase space, which are basically the fixed points of the autonomous dynamical system. We focus on the R2 model and the misalignment axion potential near the minimum. We demonstrate that the Chern–Simons terms have no effect on the phase space. We found four distinct, possibly unstable fixed points with physical significance. Specifically, we found two identical de Sitter fixed points, one radiation domination fixed point, and one dark matter dominated fixed point. Thus, in the presence of a kinetic misalignment axion, the vacuum f(R) gravity contains all of the cosmological fixed points that can characterize all of the known evolution eras of our universe.

Funder

Committee of Science of the Ministry of Education and Science of the Republic of Kazakhstan

Publisher

MDPI AG

Subject

Physics and Astronomy (miscellaneous),General Mathematics,Chemistry (miscellaneous),Computer Science (miscellaneous)

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