We have explicitly demonstrated that scalar coupled Gauss-Bonnet gravity in four dimension can have non-trivial effects on the early inflationary stage of our universe. In particular, we have shown that the scalar coupled Gauss-Bonnet term alone is capable of driving the inflationary stages of the universe without incorporating slow roll approximation, while remaining compatible with the current observations. Subsequently, to avoid the instability of the tensor perturbation modes we have introduced a self-interacting potential for the inflaton field and have shown that in this conext as well it is possible to have inflationary scenario. Moreover it turns out that presence of the Gauss-Bonnet term is incompatible with the slow roll approximation and hence one must work with the field equations in the most general context. Finally, we have shown that the scalar coupled Gauss-Bonnet term attains smaller and smaller values as the universe exits from inflation. Thus at the end of the inflation the universe makes a smooth transition to Einstein gravity.

翻译：我们已明确表明,四维的螺旋交错高斯-邦内特重力可能对我们宇宙早期的通货膨胀阶段产生非三角效应。 特别是,我们已表明,光是螺旋交错高斯-邦内特这一术语就能够驱动宇宙的通货膨胀阶段,而不包含缓慢的滚动近似值,同时与当前观测结果保持兼容。 随后,为了避免气旋扰动模式的不稳定,我们引入了膨胀场的自我互动潜力,并表明在这个组合中也有可能出现通货膨胀情景。 此外,我们发现高氏-邦内特这一术语的存在与缓慢的滚动近似值不相容,因此必须在最一般的背景下与实地方程式合作。 最后,我们已经表明,随着宇宙从通货膨胀的流出,高斯-邦内特的螺旋交错的值会越来越小。 因此,在通货膨胀结束时,宇宙会平稳地过渡到爱因斯坦的重力。