标题： 早期暗能量时代几何实现对原初引力波谱的影响 显示英文标题

标题： Effects of a Geometrically Realized Early Dark Energy Era on the Spectrum of Primordial Gravitational Waves

摘要： 在这项工作中，我们研究了几何产生的早期暗能量时代对原初引力波能谱的影响。 我们选择的早期暗能量时代具有恒定的状态方程参数 $w$，它由适当的 $f(R)$重力在物质和辐射完美流体存在的情况下协同生成。 正如我们所展示的，对于原初引力波的 $f(R)$能谱预测信号被放大，并且可以检测到，对于各种再加热温度，特别是对于较大的再加热温度。 信号幅度取决于早期暗能量时代的持续时间和暗能量状态方程参数的值，后者更严重影响放大效果。 具体而言，当状态方程参数接近de Sitter值 $w=-1$时，放大现象发生。 关于早期暗能量时代的持续时间，我们发现当早期暗能量时代开始于温度从 $T=0.85\,$eV 到 $T=7.8\,$eV 时，放大效应最大。 此外，我们研究了一种类似的放大场景，其中早期暗能量时代从 $T=0.29\,$ eV 开始，持续到温度升高 $\Delta T\sim 1.7\,$ eV。 显示英文摘要

摘要： In this work we investigate the effects of a geometrically generated early dark energy era on the energy spectrum of the primordial gravitational waves. The early dark energy era, which we choose it to have a constant equation of state parameter $w$, is synergistically generated by an appropriate $f(R)$ gravity in the presence of matter and radiation perfect fluids. As we demonstrate, the predicted signal for the energy spectrum of the $f(R)$ primordial gravitational waves is amplified and can be detectable, for various reheating temperatures, especially for large reheating temperatures. The signal amplitude depends on the duration of the early dark energy era and on the value of the dark energy equation of state parameter, with the most latter affecting more crucially the amplification. Specifically the amplification occurs when the equation of state parameter approaches the de Sitter value $w=-1$. Regarding the duration of the early dark energy era, we find that the largest amplification occurs when the early dark energy era commences at a temperature $T=0.85\,$eV until $T=7.8\,$eV. Moreover we study a similar scenario in which amplification occurs, where the early dark energy era commences at $T=0.29\,$eV and lasts until the temperature is increased by $\Delta T\sim 1.7\,$eV.