content_image/326691.jpg content_image/326692.jpg content_image/326693.jpg
of thermal inflation reheating, as this value corresponds to the number of relativistic degrees of freedom in the Standard Model. 

## 4.3.3 Tensor Fraction r 

The definition of the Tensor Fraction, r [1], is 

<img src='content_image/326691.jpg'>

where P h and P ζ are the spectrums of the primordial tensor and curvature perturbations respectively. The spectrum P h is given by 

<img src='content_image/326692.jpg'>

for a given wavenumber k . Using this, together with $^{ρ}$∗ =3 M 2 $_{P}$H 2 ∗ , given that we are saying H$_{k}$ = $^{H}$∗ for our current case, as well as the observed value P $_{ζ}$( k$_{0}$ )=2 . 142 × 10 − $^{9}$, we obtain 

## 4.4 “End of Inflation” Mechanism 

<img src='content_image/326693.jpg'>

In this section, we investigate the “end of inflation” mechanism. We aim to obtain a number of constraints on the model parameters and the initial con- ditions for the fields. Considering these constraints, we intend to determine the available parameter space (if any). In this parameter space we will cal- 

