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Paper   IPM / Astronomy / 16668
School of Astronomy
  Title:   Asymptotic de Sitter inflation in different geometric backgrounds
  Author(s): 
1.  M. Heydarzadeh
2.  M. mohsenzadeh
3.  M. Abbasian-Motlaq
4.  E. Yusofi
  Status:   Published
  Journal: Int. J. Geom. Methods Mod. Phys.
  Year:  2021
  Supported by:            ipm IPM
  Abstract:
In this paper, we will show that a power law asymptotic de Sitter inflation will be established for all values of Hankel indices ν 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 ν. 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 ν

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