arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1605.02461gr-qcastro-ph.COhep-th
收藏

单模$F(T)$引力中的暴胀宇宙学

Inflationary cosmology in unimodular $F(T)$ gravity

Kazuharu Bamba, Sergei D. Odintsov, Emmanuel N. Saridakis

备注：
11 pages, 2 figures, published version
发表信息：
Mod.Phys.Lett. A32 (2017) no.21, 1750114
阅读 PDF
arXiv 页面 ↗HTML 原文 ↗

摘要：

我们研究了在单模$F(T)$引力的背景下的暴胀实现，它是基于远程平行引力的$F(T)$修改，其中通过使用拉格朗日乘子施加单模条件。我们开发的一般重建程序的$F(T)$形式，可以产生一个给定的标度因子的演变，然后我们将其应用在暴胀制度。我们提取哈勃慢滚参数，使我们能够计算各种通货膨胀相关的观测，如标量谱指数及其运行，张量-标量比，和张量谱指数。然后，我们研究了德西特和幂律暴胀，Starobinsky暴胀，以及在一个特定的单模$F(T)$引力模型的暴胀的特殊情况。正如我们所展示的，在所有情况下，我们的情景预测都与普朗克观测数据非常一致。最后，单模$F(T)$引力中的暴胀还有一个额外的优点，即它总是允许模型参数的特定区域优雅地退出。

英文摘要：

We investigate the inflationary realization in the context of unimodular $F(T)$ gravity, which is based on the $F(T)$ modification of teleparallel gravity, in which one imposes the unimodular condition through the use of Lagrange multipliers. We develop the general reconstruction procedure of the $F(T)$ form that can give rise to a given scale-factor evolution, and then we apply it in the inflationary regime. We extract the Hubble slow-roll parameters that allow us to calculate various inflation-related observables, such as the scalar spectral index and its running, the tensor-to-scalar ratio, and the tensor spectral index. Then, we examine the particular cases of de Sitter and power-law inflation, of Starobinsky inflation, as well as inflation in a specific model of unimodular $F(T)$ gravity. As we show, in all cases the predictions of our scenarios are in a very good agreement with Planck observational data. Finally, inflation in unimodular $F(T)$ gravity has the additional advantage that it always allows for a graceful exit for specific regions of the model parameters.

机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。

↑