Journal
INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS
Volume 18, Issue 8, Pages -Publisher
WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1142/S0219887821501188
Keywords
Cosmology; background geometry; asymptotic de Sitter inflation; cosmological parameters; accelerating universe
Categories
Funding
- Islamic Azad University, Qom Branch, Qom, Iran
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This paper demonstrates that a power law asymptotic de Sitter inflation can be established for all values of Hankel indices ν related to different background spacetimes, possibly occurring after exponential pure de Sitter inflation. In the proposed model, the universe can always be in the accelerating expansion phase.
In this paper, we will show that a power law asymptotic de Sitter inflation will be established for all values of Hankel indices nu that relate to the different background spacetimes of the universe in their evolution. First, we calculate the relations for the Hubble, deceleration, slow roll and the equation of state parameters in terms of the Hankel function index nu. We then show that the obtained relations and figures correspond to the conventional limit conditions for pure de Sitter inflation. As an important result, power law quasi-de Sitter inflation is more likely to occur after exponential pure de Sitter inflation. Also, in the proposed model, the universe can always be in the accelerating expansion phase for all values of index nu.
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