In this paper we investigate the inflationary phenomenology of an Einstein–Gauss–Bonnet theory compatible with the GW170817 event, by imposing the constant-roll evolution on the scalar field. We develop the constant-roll GW170817-compatible Einstein–Gauss–Bonnet formalism, and we calculate the slow-roll indices and the observational indices of inflation, for several models of interest. As we demonstrate, the phenomenological viability of the models we study is achieved for a wide range of the free parameters. In addition, for the same values of the free parameters that guarantee the inflationary phenomenological viability of the models, we also make predictions for the non-Gaussianities of the models, since the constant-roll evolution is known to enhance non-Gaussianities. As we show the non-Gaussianities are of the same order for the slow-roll and constant-roll case, and in fact in some cases, the amount of the non-Gaussianities is smaller in the constant-roll case.

在本文中，我们通过对标量场施加恒定侧倾演化，研究了与GW170817事件兼容的爱因斯坦-高斯-帽子理论的膨胀现象。我们开发了与GW170817兼容的恒定滚动的Einstein–Gauss–Bonnet形式主义，并针对几种感兴趣的模型计算了慢滚动指数和通货膨胀的观察指数。正如我们所证明的，我们研究的模型在现象学上的可行性是针对各种自由参数实现的。此外，对于保证模型的通货膨胀现象学生存力的自由参数的相同值，我们也对模型的非高斯性进行了预测，因为已知恒定滚动会增强非高斯性。