We have studied constant-roll inflation using the q-de Sitter scale factor. Both the cold and warm inflation have been considered, and the scalar potential and inflaton field have been determined. Also tensor to scalar ratio and the spectral index are obtained. In the cold inflation case, the perturbations have been investigated using Mukhanov–Sasaki equation, and the results determined for the spectral index and tensor to scalar ration are consistent with observations. In the warm inflation two cases of constant damping (Γ = Γ0) and the field dependent damping (Γ = Γ1V (ϕ)) have been studied. In both cases the power spectrum and the tensor to scalar ratio are determined as a function of the inflaton field. It has been shown that in both cases the spectral index is independent of the inflaton field. In the case of constant damping the obtained value for the spectral index is inconsistent with observations but for the case of field dependent damping the parameter q can be chosen such that the value obtained for all the physical quantities including the spectral index be consistent with present cosmological observations.

中文翻译：

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由 q-de Sitter 驱动的恒定滚动通胀

我们使用 q-de Sitter 比例因子研究了恒定滚动膨胀。冷暴和暖暴均已考虑，标量势和暴胀场已确定。还获得了张量与标量比和光谱指数。在冷暴胀情况下，利用 Mukhanov-Sasaki 方程研究了扰动，光谱指数和张量标量比确定的结果与观测结果一致。在热膨胀中，有两种恒定阻尼的情况（Γ = Γ0）和场相关阻尼（Γ = Γ1五 (φ)) 进行了研究。在这两种情况下，功率谱和张量与标量比都被确定为暴胀场的函数。已经表明，在这两种情况下，光谱指数都与暴胀场无关。在恒定阻尼的情况下，获得的光谱指数值与观测值不一致，但对于场相关阻尼的情况，参数q可以选择使得包括光谱指数在内的所有物理量获得的值与当前的宇宙学观测一致。