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arXiv 2510.26366astro-ph.COgr-qc
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$Λ$vCF:将$Λ$CDM扩展为含粒子创生的统一模型

$Λ$vCF: Extending $Λ$CDM into a Unified Model with Particle Creation

Vishnu A Pai, Titus K Mathew

AI总结:

本研究提出含粒子创生的黏性宇宙流体模型$Λ$vCF,统一描述宇宙各演化阶段,结合观测数据确定暴胀能标,验证其因果性并揭示流体流变行为的转变。

摘要:

我们提出了一种新颖的$Λ$CDM模型扩展版本,该模型能给出哈勃参数的解析解,将从暴胀到晚期加速的所有宇宙演化阶段统一起来,中间还包含辐射主导和物质主导阶段。这一结果是通过放宽标准模型中的理想流体假设,考虑具有非零粒子创生率和演化绝热物态方程的一般黏性宇宙流体(vCF)实现的。我们精确确定了宇宙的各转变点以及连接这些转变点的有限边界。\n随后,我们提出了一种新方法,利用Padmanabhan提出的宇宙模式指数(Cosmic Mode Index)值来确定早期黏性系数和暴胀能标。结合Planck 2018分析的数据,该方法得出暴胀时期的哈勃参数$H_{I}\approx10^{13}$GeV。我们还构建了暴胀阶段的等效标量场描述,并对暴胀的本质进行了推断。值得注意的是,我们发现该模型描述了一种超慢滚山顶暴胀情形,且能平滑过渡到辐射主导阶段。\n接着,我们证明该模型中的体黏度可以用相对论耗散流体力学中的Israel-Stewart方程表示,其对应的黏性系数和弛豫时间在极端极限下满足因果性约束。最后,通过比较这一因果关系及其Navier-Stokes对应形式的演化,我们推断从暴胀到辐射时代的演化标志着流体从黏弹性行为转变为假塑性行为。

英文摘要:

We present a novel extended version of the $Λ$CDM model that provides analytical solution for Hubble parameter uniting all epochs of cosmic evolution starting from inflation to late-acceleration, with intermediate radiation and matter-dominated epochs. This is achieved by relaxing the perfect fluid assumption in the standard model and considering a general viscous cosmic fluid (vCF) with non-zero particle creation rate and evolving adiabatic equation of state. Transition points of the Universe and the finite boundary connecting them is exactly determined. We then propose a novel method to determine the early-time viscous coefficient and inflation energy scale using the Cosmic Mode Index value postulated by Padmanabhan. Considering the data from the Planck 2018 analysis, this yields an inflationary Hubble parameter of $H_{I}\approx10^{13}$\,GeV. An equivalent scalar-field description for the inflationary epoch is then constructed and inferences are made regarding the nature of inflation. Notably, we find that the model describes an ultra-slow-roll hilltop inflation scenario with a graceful exit to radiation-dominated epoch. Subsequently, we show that bulk viscosity in this model can be expressed as Israel-Stewart equation in relativistic dissipative hydrodynamics with an appropriate underlying viscous coefficient and relaxation time that satisfy the causality constraint in its extreme limit. Finally, by comparing the evolution of this causal relation and its Navier-Stokes counterpart, we infer that the evolution from inflation to radiation era signifies a fluid transitioning from viscoelastic to pseudoplastic behavior.

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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