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arXiv 2601.09271gr-qcastro-ph.COhep-th
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具有穿越 phantom 分界线的 Chiellini 可积宇宙学

Chiellini-Integrable Cosmologies with Phantom Divide Crossing

School of Advanced Sciences, Vellore Institute of Technology(维洛尔理工学院高级科学学院);Centre for Theoretical Physics and Natural Philosophy, Nakhonsawan Studiorum for Advanced Studies, Mahidol University(马希隆大学那空沙旺高级研究学院理论与自然哲学中心)

Soumya Chakrabarti, Nandan Roy

AI总结:

本文提出了一种基于 Chiellini 可积条件的标量场宇宙学模型,能够解析地描述晚期宇宙加速和 phantom 分界线穿越,且无需引入病态不稳定性。

摘要:

我们研究了在广义相对论中,与爱因斯坦-希尔伯特作用量最小耦合的具有质量标量场的精确宇宙学解。对于一种扩展的类似 Higgs 的标量自相互作用,我们发现所得到的场方程属于阻尼 Ermakov-Painlevé II 类,并在 Chiellini 可积性条件的框架内构造了新的解析解。我们分析这些解的扩展分支是否能描述晚期宇宙加速,利用 BAO、CMB、宇宙钟和 Pantheon+SHOES 欧洲超新星数据集的联合统计分析。这项工作的关键结果是,在暗能量方程状态中实现了光滑的 phantom 分界线穿越,而无需引入任何病态不稳定性。重构结果表明现今哈勃参数 $H_0 \gtrsim 70 \,\mathrm{km\,s^{-1}\,Mpc^{-1}}$,与 $Λ$CDM 宇宙学相比,张力有所降低。结果表明,Chiellini 可积标量宇宙学能够提供一个稳健且解析可控的框架,用于建模晚期宇宙加速和 phantom 分界线穿越,为现象学暗能量参数化提供了一种可行的替代方案。

英文摘要:

We investigate exact cosmological solutions with a massive scalar field minimally coupled to the Einstein-Hilbert action in General Relativity. For an extended Higgs-like scalar self-interaction, we find that the resulting field equations belong to the damped Ermakov-Painlevé II class and construct novel analytical solutions within the framework of the Chiellini integrability condition. We analyze whether the expanding branch of the solutions can describe a late-time cosmic acceleration, using a combined statistical analysis of BAO, CMB, cosmic chronometer and Pantheon+SHOES supernova datasets. A crucial outcome of this exercise is the analytical emergence of a smooth phantom divide crossing in the dark energy equation of state, achieved without introducing any pathological instabilities. The reconstruction yields a present-day Hubble parameter $H_0 \gtrsim 70 \,\mathrm{km\,s^{-1}\,Mpc^{-1}}$, with a reduced tension relative to the $Λ$CDM cosmology. The results indicate that Chiellini-integrable scalar cosmologies are capable of providing a robust and analytically controlled framework for modeling late-time cosmic acceleration and phantom divide crossing, offering a viable alternative to phenomenological dark-energy parametrizations.

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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