Constructing an inflaton potential by mimicking modified Chaplygin gas

In this paper, we consider an inflationary model that effectively behaves as a modified Chaplygin gas in the context of quintessence cosmology. We reconstruct the inflaton potential from the bottom up and using the recent observational data we fix the free parameters of the model. We show that the modified Chaplygin gas-inspired model is suitable for both the early and the late time acceleration but has shortcomings between the two periods.

Figure 1

The tensor-to-scalar ratio in terms of the scalar field for $B=3$, $C=1$ and ${\varphi }_f=0$. (a) $\alpha =0.5$, $A=-0.996$ (dotted blue), $A=-0.997$ (dashed green), $A=-0.998$ (solid red), $A=-0.999$ (dash dotted yellow). (b) $A=-0.996$, $\alpha =0.1$ (dotted blue), $\alpha =0.5$ (solid red), $\alpha =1$ (dash dotted yellow).

Figure 2

The scalar spectral index in terms of the scalar field for $\alpha =0.5$, $C=1$ and ${\varphi }_f=0$. $A=-0.996$ (dotted blue), $A=-0.997$ (solid red), $A=-0.998$ (dashed green), $A=-0.999$ (dash dotted yellow).

Figure 3

The scalar field in terms of the scale factor for $A=-0.996$, $\alpha =0.5$, $C=1$ and ${\varphi }_f=0$. $B=1$ (dotted blue), $B=2$ (solid cyan)$B=5$ (solid red), $B=8$ (dashed green), $B=10$ (dash dotted yellow).

Figure 4

${\dot{\varphi }}^2$ (solid red) and $V(\varphi )$ (dotted blue) in terms of the scalar field for $A=-0.996$, $\alpha =0.5$, $B=3$, $C=1$ and ${\varphi }_f=0$.

Figure 5

The deceleration parameter in terms of the scale factor for $A=-0.996$, $B=3$, $C=1$ and ${\varphi }_f=0$. $\alpha =0.1$ (dotted blue), $\alpha =0.5$ (solid red), $\alpha =1$ (dash dotted yellow).