论文标题
正规化的Lovelock重力中的扰动
Perturbations in Regularized Lovelock Gravity
论文作者
论文摘要
在本文中,我们研究了在弯曲的FLRW时空上最近提出的正则化Lovelock重力的扰动理论。在存在附加的最小耦合标量场的情况下,我们提供标量和张量扇区中的一阶扰动方程。推断出重力波速度的一般表达。此外,我们将结果应用于对平面FLRW背景的慢滚通膨胀的研究,在正规化的Lovelock重力中以二阶为二阶,即仅在高斯 - 骨网校正的情况下。我们得出标量和张量扰动的功率谱,并提供了可观察到的通胀数量的方程:光谱指数和张量与尺度光谱比率。
In this paper we study the perturbation theory of the recently proposed Regularized Lovelock Gravity, on the curved FLRW space-time. We provide the first order perturbation equations both in the scalar and tensor sector in the presence of an additional minimally coupled scalar field. A general expression for the velocity of gravitational waves at the generic order is inferred. Moreover, we apply the results on the study of slow-roll inflation on flat FLRW background, at second order in the Regularized Lovelock Gravity, i.e. in the presence of the Gauss-Bonnet correction only. We derive the power spectra of scalar and tensor perturbations, and provide the equations for the inflation observable quantities: the spectral indices and the tensor-to-scalar spectra ratio.