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arXiv 2406.09604gr-qcastro-ph.COhep-th
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标量场与暗物质流体相互作用对原初引力波的影响

Implications of a Scalar Field Interacting with the Dark Matter Fluid on the Primordial Gravitational Waves

V. K. Oikonomou

AI总结:

本文研究标量场与暗物质流体在临界密度前后双向传能的动力学模型,分析其不稳定动能主导不动点导致再加热期总状态方程超过$w=1/3$,并结合$F(R)$引力探讨对原初引力波能谱的影响。

摘要:

我们考虑标量场与暗物质流体相互作用对原初引力波能谱的影响。我们选择一种相互作用类型:在再加热时期或早期辐射主导时期,当物质密度低于临界物质密度$ρ_m^c$时,标量场损失能量并将其转移给暗物质流体;而在高于临界物质密度$ρ_m^c$之后,暗物质流体损失能量并将其转移给标量场。假设标量场具有指数势,并且在$ρ_m\sim ρ_m^c$的临界物质密度处——此时标量场与暗物质流体之间的相互作用被关闭——我们要求标量场的有效状态方程由物质主导时期来描述。这一点至关重要,因为它会影响由暗物质流体和标量场组成的二维动力学系统的轨迹行为和不动点。具体而言,相空间包含两个稳定的暗物质主导最终吸引子和两个不稳定的刚性时期主导不动点。因此,存在一种引人注目的可能性:在再加热时期,宇宙可能感受到标量场经过不稳定的动能主导不动点,此时宇宙的总状态方程参数会发生偏离并增大至超过$w=1/3$。再加热时期总状态方程参数的这种偏离可能对原初引力波的能谱产生显著影响。此外,我们使用的模型还包含一种$F(R)$引力,它以现象学上可行的方式主导控制暴胀和晚期加速。

英文摘要:

We consider the implications of a scalar field interacting with the dark matter fluid on the energy spectrum of the primordial gravitational waves. We choose an interaction type which before a critical matter density $ρ_m^c$ during the reheating era or early radiation domination era, the scalar field loses energy transferring it to the dark matter fluid, while after the critical matter density $ρ_m^c$ the dark matter fluid loses energy transferring it to the scalar field. The scalar field is assumed to have an exponential potential and at the critical matter density with $ρ_m\sim ρ_m^c$, at which point, the interaction between the scalar and the dark matter fluid is switched off, we demand that the effective equation of state of scalar field is described by a matter dominated era. This is crucial since it affects the behavior of the trajectories and the fixed points of the two dimensional dynamical system composed by the dark matter fluid and the scalar field. Specifically the phase space contains two stable dark matter dominated final attractors and two unstable stiff era dominated fixed points. Thus, there exists the remarkable possibility that the Universe might feel the passing of the scalar field through the unstable kinetic dominated fixed points, during the reheating era, with the total equation of state parameter of the Universe being deformed to be larger than $w=1/3$. This deformation of the total equation of state parameter during the reheating era can potentially have significant effects on the energy spectrum of the primordial gravitational waves. Also the model we use also contains an $F(R)$ gravity which controls in a dominant way inflation and the late-time acceleration, in a phenomenologically viable way.

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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