Warm Modified Chaplygin Gas Shaft Inflation

Abstract

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 $\Gamma =a_0\frac{T^3}{{\varphi }^2}$ 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 $n_s-\varphi ,n_s-r$ and $n_s-{\alpha }_s$ (where $n_s,{\alpha }_s,r$ and $\varphi$ 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.

arXiv comment20 pages, 6 figures, Accepted for publication in EPJC

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