Constant-roll warm inflation is introduced in this work. A novel approach to finding an exact solution for Friedman equations coupled to scalar field equation of motion is presented for cold inflation and is extended to warm inflation with the constant dissipative parameter $Q=\frac{\Gamma}{3H}$. The evolution of the primordial inhomogeneities of a scalar field in a thermal bath is also studied. The $1\sigma$ consistency between the theoretical predictions of the model and observational constraints has been proven for a range of $Q$ and $\beta=\frac{\ddot{\phi}}{3H\phi}$ (constant rate of inflaton roll). In addition, we briefly investigate the possible enhancement of super-horizon perturbations beyond the slow-roll approximation.

中文翻译：

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高耗散状态下的恒定滚动暖膨胀

在这项工作中引入了恒滚暖膨胀。提出了一种新的方法来寻找与标量场运动方程耦合的弗里德曼方程的精确解，该方法适用于冷膨胀，并扩展到具有恒定耗散参数 $Q=\frac{\Gamma}{3H}$ 的暖膨胀。还研究了热浴中标量场的原始不均匀性的演变。模型的理论预测与观测约束之间的 $1\sigma$ 一致性已在 $Q$ 和 $\beta=\frac{\ddot{\phi}}{3H\phi}$（恒定速率的充气辊）。此外，我们简要研究了慢滚近似之外超视距扰动的可能增强。