Brane assisted quintessential inflation with transient acceleration

Understand

A simple model of quintessential inflation with the modified exponential potential exp(-\alpha \phi) [A + (\phi-\phi_0)^2] is analyzed in the braneworld context.

• Considering reheating via instant preheating, it is shown that the evolution of the scalar field \phi from inflation to the present epoch is consistent with the observational constraints in a wide region of the parameter space.
• The model exhibits transient acceleration at late times for 0.96 < A \alpha^2 < 1.26 and 271 < \phi_0 \alpha < 273, while permanent acceleration is obtained for 2.3 10^{-8} < A \alpha^2 < 0.98 and 255 < \phi_0 \alpha < 273.
• The steep parameter \alpha is constrained to be in the range 5.3 < \alpha < 10.8.