2 research outputs found
Running of Spectral index for a hybrid inflationary model
A hybrid inflationary model with cubic potential where inflation ends in a differentway, due to very rapid rolling of an auxiliary scalar field ψ is discussed. The slowly rollinginflation field φ does not account for the majority of the energy density in hybrid inflation.Another field ψ takes this role, which is maintained in position by its interaction with φ untilφ falls below a critical value φc . When this occurs, ψ has been destabilized and inflationcomes to an end by rolling toward its true vacuum. In this model, the second derivative ofthe inflaton potential, which represents its effective mass undergoes a sudden small change.The spectral indices related to density perturbations n1 and n2 just before and soon after thephase transition respectively are determined. It is found that the ensuing density perturbationhas a power spectrum that is nearly flat with a step in ns
Gravitational wave production after inflation for a hybrid inflationary model
We discuss a cosmological scenario with a stochastic background of
gravitational waves sourced by the tensor perturbation due to a hybrid
inflationary model with cubic potential. The tensor-to-scalar ratio for the
present hybrid inflationary model is obtained as .
Gravitational wave spectrum of this stochastic background, for large-scale CMB
modes, to is studied. The present-day energy
spectrum of gravitational waves is sensitively related to
the tensor power spectrum and r which is, in turn, dependent on the unknown
physics of the early cosmos. This uncertainty is characterized by two
parameters: logarithmic average over the primordial tensor
spectral index and logarithmic average over the effective equation
of state parameter. Thus, exact constraints in the ,
plane can be obtained by comparing theoretical constraints of our model on r
and . We obtain a limit on <
around the modes probed by CMB scales