Abstract:
This thesis is focused to investigate the inflationary phase described by a
fermionic field (FF) that is non-minimally (NM) coupled to gravity in the con-
text of constant-roll (CR) approach. We consider locally rotationally symmetric
(LRS) Bianchi I (BI) model of the universe and carry out the associated infla-
tionary analysis by using a coupling of the form f = 1 + ξˆϕ and compare our
findings with recent Planck data. We graphically analyze the scalar spectral in-
dex ns and tensor-to-scalar ratio r for different values of β and m. Reheating
process plays an important role at the end of inflation, we calculate the period
of reheating Nre as well as the reheating temperature Tre for underlying model
and also show graphical behavior of Nre and Tre versus ns for different vales of
equation of state (EoS) parameter ωre = −
1
3
, 0, 2
3
, 1.
