arXiv 2402.013012024-02-02hep-thgr-qc

标度引力中的暴胀与轴子暗物质研究

On Inflation and Axionic Dark Matter in a Scaled Gravity

A. Belhaj, S. E. Ennadifi, M. Lamaaoune

备注：: Latex, 18pages, 2figures, Authors in Alphabetical order

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AI总结：

本研究提出标度引力下的暴胀模型，结合观测数据约束模型参数，并探讨该框架下轴子暗物质的标度限制。

摘要：

受修正引力理论$F(R)\neq R$及暴胀物理学的启发，我们首先提出并研究了标度引力$F(R)=R+\beta R$中的暴胀模型，其中$\beta$为无量纲标度参数。该标度参数还被引入特定势$V(\phi)=M^{4}\left[1-\cos\left(\frac{\phi}{\mu}\right)^{\beta}\right]$中，通过参数耦合机制驱动暴胀。利用慢滚近似，结合最新的Planck与BICEP/Keck观测数据，我们根据计算得到的相关宇宙学可观测量$n_s$和$r$的取值范围，确定了引力标度参数$\beta$的取值。随后，我们在该引力模型中讨论了轴子暗物质，考虑暴胀子与类轴子场$\phi=f_a\theta$（其中衰变常数$f_a=\mu$）相等的情形。参考已知观测数据，该模型的暴胀标度$M$被约束为远低于对应的轴子标度，即$M\ll f_a$。

英文摘要：

Motivated by the modified gravity theories $F(R)\neq R$ and inflationary physics, we first propose and investigate an inflation model in a scaled gravity $F(R)=R\,+βR$, where $β$ is a dimensionless scaling parameter. The latter is also implemented in a particular potential $V(ϕ)=M^{4}\left[ 1-\cos \left( \frac{ϕ}μ\right)^{β}\right] $ being considered to drive the inflation via a parameter coupling scenario. Using the slow-roll approximations, the gravity scale parameter $β$ is approached with respect to the range of the associated computed cosmological observables $n_{s}$ and $r$ according to the recent Planck and BICEP/Keck data. Then, we discuss the axionic dark matter in the suggested gravity model by considering the case where the inflaton is taken to be identified with an axion-like field $ϕ=f_{a}θ$ with the decay constant $f_{a}=μ$. Referring to the known data, the underlying inflation scale $M$ is constrained to be much lower than the corresponding axion scale $M\ll f_{a}$.

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