Warm Modified Chaplygin Gas Shaft Inflation

In this paper, we examine the possible realization of a new family of inflation called “shaft inflation” by assuming the modified Chaplygin gas model and tachyon scalar field. We also consider the special form of dissipative coefficient as $\mathrm{\Gamma }=a_0\frac{T^3}{{\varphi }^2}$ and calculate the various inflationary parameters in the scenario of strong and weak dissipative regimes. In order to examine the behavior of inflationary parameters, the planes of $n_s

• \phi,~n_s - r$and$n_s - \alpha_s$(where$n_s,~\alpha_s,~r$and$\phi$ represent spectral index, its running, tensor to scalar ratio and scalar field respectively) are being developed which lead to the constraints: $r<0.11$, $n_s=0.96\pm 0.025$ and ${\alpha }_s=-0.019\pm 0.025$. It is quite interesting that these results of inflationary parameters are compatible with BICEP$2$, WMAP $(7+9)$ and recent Planck data.