A paradigm of warm quintessential inflation and production of relic
  gravity waves
  We consider the framework of quintessential inflation in the warm background
which is caused by the dissipation of the scalar field energy density into
relativistic degrees of freedom. The dissipation process has important
consequences for the evolution both at the levels of background as well as
perturbation and allows us to easily satisfy the observational constraints.~Our
numerical analysis confirms that the model conforms to observational
constraints even if the field-radiation coupling strength is weak. In the warm
background, we investigate the post inflationary evolution of relic gravity
waves produced during inflation whose amplitude is constrained by the Big Bang
Nucleosynthesis constraint. Further, we investigate the effect of coupling on
the amplitude of gravity waves and obtain the allowed phase space between the
model parameters. The mechanism of quintessential inflation gives rise to the
blue spectrum of gravitational wave background at high frequencies. We discuss
the perspectives of detection of the signal of relic gravity waves by future
proposed missions. Improvements of their sensitivities in the high-frequency
regime, in the future, might allow us to probe the blue tilt of the spectrum
caused by the presence of a kinetic regime in the underlying framework of
inflation.
