In “Sourced scalar fluctuations in bouncing cosmology” JCAP07(2019)050 we calculated the scalar and tensor power spectra generated by sourced fluctuations due to coupling between the scalar field, which holds most of the energy density of the universe, and a gauge field for a general FLRW metric. The coupling between the scalar field ϕ and the gauge field was denoted by the function I(ϕ)≡ I(ϕ(τ))=(−τ)⁻ⁿ, where the last equality is the temporal behavior of the coupling as a function of conformal time τ by construction. We first wrote down I(ϕ) in “Gravitational waves in bouncing cosmologies from gauge field production”, JCAP09(2016)017, but made an error in the expression of I(ϕ). In that work, all calculations were done using I=(−τ)⁻ⁿ, and as a result, this error did not have any consequences. However, in the present work, dI/dϕ appears in the scalar source term, which is crucial in determining the value of r, and incorrectly yielded r≃ 0.85 for a nearly scale invariant spectrum. Upon correcting the error we find r≃1/9, an order of magnitude smaller, but still not consistent with current data. The rest of the theoretical and phenomenological results including potential detection by LIGO and LISA are unchanged.

在《反弹宇宙学中的标量标量波动》 JCAP07（2019）050中，我们计算了由于标量场之间的耦合而产生的标量和张量功率谱，标量场保持了宇宙的大部分能量密度，而标量场则用于一般的FLRW指标。标量场之间的耦合＆varphi; 仪表场用函数表示 我（＆varphi;）≡ 我（＆varphi;（τ））=（ - τ）^{- ñ}，其中最后一个等式是耦合时间随共形时间的变化 τ通过建设。我们先写下来我（＆varphi;） JCAP09（2016）017在“规范场产生的反弹宇宙中的引力波”中，但在 我（＆varphi;）。在这项工作中，所有计算均使用I =（-τ）^{− n}，因此，此错误没有任何后果。但是，在目前的工作中，dI / d＆varphi; 出现在标量源项中，这对于确定...的值至关重要 [R，并错误地屈服 r＆simeq; 0.85对于几乎不变的频谱。纠正错误后，我们发现r＆simeq; 1/9，数量级较小，但仍与当前数据不一致。其余的理论和现象学结果（包括LIGO和LISA的潜在检测）均未更改。