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arXiv 2604.04764gr-qc
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广义相对论引力波产生期间在GB引力中的预热阶段与多项式耦合

Gravitational waves production during preheating within GB gravity with monomial coupling

University of Mohammed first（穆罕默德一世大学）；Faculty of Sciences（理学院）

Brahim Asfour, Yahya Ladghami, Taoufik Ouali

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11 pages, 8 figures
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AI总结：

本文研究了预热阶段内广义相对论引力波的产生，通过比较观测数据验证了Gauss-Bonnet膨胀模型与多项式耦合函数的模型，并探讨了预热阶段与再加热阶段的关系，以及引力波能量密度与标量谱指数的关联。

摘要：

在本文中，我们研究了预热时期内引力波的产生。为此，我们考虑了具有幂律势能$V(ϕ)= V_0 ϕ^n$和多项式Gauss-Bonnet耦合函数$ξ(ϕ)= ξ_0 ϕ^n$的Gauss-Bonnet膨胀模型。我们通过将结果与当前观测数据进行比较来检验我们的模型。随后，我们研究预热阶段，通过建立预热持续时间、再加热阶段和膨胀参数之间的联系，从而受益于对膨胀的观测约束。此外，我们通过将能量密度与预热持续时间$N_{pre}$和谱指数$n_s$联系起来，研究了预热时期的引力波产生。预热时期的引力波产生可以满足观测约束。特别是，预测的当前引力波能量密度，以标量谱指数为函数，对于无量纲的Gauss-Bonnet耦合参数$α≡4V_{0}ξ_{0}/3 = -1.5\times 10^{-6}$、有效的方程状态参数$ω= 1/6$和预热效率参数$δ= 10^{5}$的选择，与Planck约束一致。

英文摘要：

In this paper, we investigate the production of gravitational waves during the preheating era. To achieve this purpose, we consider Gauss-Bonnet inflation model with Power{\textendash}law potential, $V(ϕ)= V_0 ϕ^n$, and monomial Gauss-Bonnet coupling function, $ξ(ϕ)= ξ_0 ϕ^n$. We examine our model by comparing our findings with the current observational data. After that, we study the preheating stage by adopting an approach in which we establish a link between preheating duration, reheating phase and inflationary parameters. This step allows us to benefit from observational constraints imposed on inflation. Furthermore, we examine the production of gravitational waves during preheating epoch connecting the energy density to the preheating duration, $N_{pre}$, and then with the spectral index $n_s$. The generation of gravitational waves during preheating can satisfy observational constraints. In particular, the predicted present-day gravitational-wave energy density, expressed as a function of the scalar spectral index, is consistent with the Planck constraints for the choice of a dimensionless Gauss-Bonnet coupling parameter $α\equiv 4V_{0}ξ_{0}/3 = -1.5\times 10^{-6}$, an effective equation of state parameter $ω= 1/6$, and a preheating efficiency parameter $δ= 10^{5}$.

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。

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