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| Natura: | Preprint |
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2025
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| Accesso online: | https://arxiv.org/abs/2511.12244 |
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| _version_ | 1866908656324313088 |
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| author | Alho, Artur Uggla, Claes |
| author_facet | Alho, Artur Uggla, Claes |
| contents | Arguably one can use a canonical scalar field $φ$, minimally coupled to gravity, with quadratic potentials $V = Λ\pm \frac12 m^2φ^2$ to explore some general features of slow-roll and hilltop thawing quintessence, respectively. For each of these two potentials, and pressure-free matter, we introduce a regular unconstrained dynamical system on a compact state space, where the formulation for the hilltop case is new. Together with a derivation of monotonic functions in the two global state space settings, this enables us to obtain global results and to introduce figures that illustrate the global solution spaces of these models, in which we situate the observationally viable quintessence solutions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_12244 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Quintessence: Quadratic potentials Alho, Artur Uggla, Claes General Relativity and Quantum Cosmology Cosmology and Nongalactic Astrophysics Arguably one can use a canonical scalar field $φ$, minimally coupled to gravity, with quadratic potentials $V = Λ\pm \frac12 m^2φ^2$ to explore some general features of slow-roll and hilltop thawing quintessence, respectively. For each of these two potentials, and pressure-free matter, we introduce a regular unconstrained dynamical system on a compact state space, where the formulation for the hilltop case is new. Together with a derivation of monotonic functions in the two global state space settings, this enables us to obtain global results and to introduce figures that illustrate the global solution spaces of these models, in which we situate the observationally viable quintessence solutions. |
| title | Quintessence: Quadratic potentials |
| topic | General Relativity and Quantum Cosmology Cosmology and Nongalactic Astrophysics |
| url | https://arxiv.org/abs/2511.12244 |