论文标题
$ f（r）$ - 重力产生的通货膨胀后时代及其对原始引力波的影响
$f(R)$-Gravity Generated Post-inflationary Eras and their Effect on Primordial Gravitational Waves
论文作者
论文摘要
在这项工作中，我们将考虑几何产生后时代对原始引力波能量光谱的影响。具体而言，我们将考虑国家时代的通电后常数方程，这是由$ f（r）$重力的协同作用以及辐射和物质完美的流体产生的。应研究两种感兴趣的情况，一个具有状态参数等式$ W = -1/3 $，在这种情况下，宇宙既不加速也不会减速，另一个则具有$ W = 0 $，因此早期的物质统治时代。为了评估与重力波能量谱的计算相关的通货膨胀观察指数，我们还考虑了状态参数ERA恒定方程对$ e $折叠数的影响。在$ W = -1/3 $和$ W = 0 $的情况下，原始引力波的能量光谱都得到了放大，但是对于$ W = 0 $ case，效果更强。
In this work we shall consider the effects of a geometrically generated post-inflationary era on the energy spectrum of the primordial gravitational waves. Specifically, we shall consider a post-inflationary constant equation of state era, generated by the synergistic effect of $f(R)$ gravity and of radiation and matter perfect fluids. Two cases of interest shall be studied, one with equation of state parameter $w=-1/3$, in which case the Universe neither accelerates nor decelerates, and one with $w=0$ so an early matter domination era. For the evaluation of the inflationary observational indices which is relevant for the calculation of the gravitational waves energy spectrum, we also took into account the effects of the constant equation of state parameter era, on the $e$-foldings number. In both the $w=-1/3$ and $w=0$ cases, the energy spectrum of the primordial gravitational waves is amplified, but for the $w=0$ case, the effect is stronger.
