标题： 高斯-博内修正的暴胀：超越慢滚 显示英文标题

标题： Inflation with Gauss-Bonnet correction: beyond slow-roll

摘要： 如果引入惯性子场与高斯-博内项之间的耦合，则许多曾被最新Planck数据排除的 inflation 模型可以重新变得可行。 通常使用慢滚近似来计算标量谱指数和张量-标量比的预测值。 本文则研究完整的运动方程，并确定合理的 inflation 时期所需的初始条件。 我们推导出 Friedmann 方程在什么条件下对哈勃参数有正解。 然后我们研究惯性子场是否可能被困在由高斯-博内项诱导的局部势能最小值中。 最后我们在单项式势能模型（二次和四次势能）上展示结果，并表明在四次势能情况下慢滚近似变得不精确。 显示英文摘要

摘要： If a coupling between the inflaton and the Gauss-Bonnet term is introduced, many models of inflation that were ruled out by the most recent Planck data can be made viable again. The predictions for the scalar spectral index and tensor-to-scalar ratio are typically computed using the slow-roll approximation. In this paper we instead study the full equations of motion and determine the necessary initial conditions for reasonable inflation epoch. We derive the conditions under which the Friedmann equation admits positive solutions for the Hubble parameter. Then we study the possibility of the inflaton becoming trapped in a local potential minimum induced by the Gauss-Bonnet term. Finally we demonstrate the results on monomial potential models with a quadratic and a quartic potential and show that the slow-roll approximation becomes imprecise in the quartic case.