dorsal/arxiv
View SchemaChiellini-Integrable Cosmologies with Phantom Divide Crossing
| Authors | Soumya Chakrabarti, Nandan Roy |
|---|---|
| Categories | |
| ArXiv ID | 2601.09271vv1 |
| URL | https://arxiv.org/abs/2601.09271 |
| License | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ |
Abstract
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-Painlev\'e 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 $\Lambda$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.
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"abstract": "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-Painlev\\\u0027e 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 $\\Lambda$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.",
"arxiv_id": "2601.09271",
"authors": [
"Soumya Chakrabarti",
"Nandan Roy"
],
"categories": [
"gr-qc",
"astro-ph.CO",
"hep-th"
],
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
"title": "Chiellini-Integrable Cosmologies with Phantom Divide Crossing",
"url": "https://arxiv.org/abs/2601.09271",
"version": "v1"
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