2018/09/17 by M. Švec, Miloslav Svec, Svec, Miloslav
Earth and Planetary Sciences · Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Physical sciences #General Physics (physics.gen-ph) #Geophysics and Gravity Measurements #Pulsars and Gravitational Waves Research #Relativity and Gravitational Theory #physics.gen-ph
paper · pdf · doi:10.48550/arxiv.1809.07178
29 pages, 5 figures, 6 tables; typos corrected, change in the address. Note: The City of Westmount is within the City of Montreal
openalex publication_date 2018/09/17 · arxiv created 2018/11/21 · arxiv updated 2018/11/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this work we develop a general phenomenological model of the Cyclic Universe. We construct periodic scale factor a(t) from the requirements of the periodicity of a(t) with no singular behavior at the turning points tαand tωand the requirement that a unique analytical form of the Hubble function H(z) can be derived from the Hubble function H(t) to fit the data on H(z). We obtain two versions of a(t) called Model A and Model C. Hubble data select Model A. With the analytical forms of the Hubble functions H(t) and H(z) known we calculate the deceleration parameters q(t) and q(z) to study the acceleration-deceleration transitions during the expansion phase. We find that the initial acceleration at tα=0 transits at tad1=3.313x10-38s into deceleration period that transits at tda=6.713 Gyr to the present period of acceleration. The present acceleration shall end in a transition to the final deceleration at tad2=38.140 Gyr. The expansion period lasts 60.586 Gyr. The complete cycle period is T=121.172 Gyr. We use the deceleration parameters q(z) and q(t) to solve the Friedmann equations for the energy densities of Dark Energy Ω0 and Dark Matter ΩM to describe their evolutions over a large range of z and t. We show that in the Model A the curvature density Ωc(z) evolves from a flat Universe in the early times to a curves anti de-Sitter spacetime today. There is no Standard Model Inflation in the Model A.