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| Natura: | Preprint |
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2025
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| Accesso online: | https://arxiv.org/abs/2510.12020 |
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| _version_ | 1866908808993832960 |
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| author | Vasquez, Ivan R. Oliveros, A. |
| author_facet | Vasquez, Ivan R. Oliveros, A. |
| contents | We present a cosmological analysis of an exponential $f(Q)$ gravity model, within the dynamical systems formalism. Following the method introduced by Böhmer \textit{et al} [Universe \textbf{9} no.4, 166 (2023)], the modified Friedmann modified equations are successfully reduced to an autonomous system. Given the exponential form of $f(Q)$, the equilibrium conditions result in transcendental equations, which we approximate to identify the critical points. We therefore perform a general stability analysis of these points in terms of the model parameters. Finally, we extend the model by including a linear dark energy-dark matter interaction, where the equilibrium points are found with their stability properties. The model exhibits the three main domination epochs in the Universe, as well as a non-trivial impact on the late-time de Sitter attractor. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_12020 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Phase space analysis of an exponential model in $f(Q)$ gravity including linear dark-sector interactions Vasquez, Ivan R. Oliveros, A. General Relativity and Quantum Cosmology Cosmology and Nongalactic Astrophysics We present a cosmological analysis of an exponential $f(Q)$ gravity model, within the dynamical systems formalism. Following the method introduced by Böhmer \textit{et al} [Universe \textbf{9} no.4, 166 (2023)], the modified Friedmann modified equations are successfully reduced to an autonomous system. Given the exponential form of $f(Q)$, the equilibrium conditions result in transcendental equations, which we approximate to identify the critical points. We therefore perform a general stability analysis of these points in terms of the model parameters. Finally, we extend the model by including a linear dark energy-dark matter interaction, where the equilibrium points are found with their stability properties. The model exhibits the three main domination epochs in the Universe, as well as a non-trivial impact on the late-time de Sitter attractor. |
| title | Phase space analysis of an exponential model in $f(Q)$ gravity including linear dark-sector interactions |
| topic | General Relativity and Quantum Cosmology Cosmology and Nongalactic Astrophysics |
| url | https://arxiv.org/abs/2510.12020 |