Direct cosmographic reconstruction of the quintessence potential
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arXiv
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| Format: | Preprint |
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2026
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| _version_ | 1866917368395988992 |
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| author | Chakraborty, Saikat Dunsby, Peter K. S. Scherrer, Robert J. |
| author_facet | Chakraborty, Saikat Dunsby, Peter K. S. Scherrer, Robert J. |
| contents | We derive expressions for the first and second derivatives of the quintessence potential $V(ϕ)$, in terms of $λ= -V^{\prime}/V$ and $Γ= (V^{\prime \prime}/V)/(V^\prime/V)^2$, as functions of the quintessence density fraction $Ω_ϕ$ and the cosmographic parameters $q$, $j$, and $s$. Our mapping is not explicitly a function of the equation of state parameter $w$. We use these results, along with recent observational data, to derive expansions of $V(ϕ)$ about the present-day value of the scalar field, $ϕ_0$. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2603_24214 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Direct cosmographic reconstruction of the quintessence potential Chakraborty, Saikat Dunsby, Peter K. S. Scherrer, Robert J. General Relativity and Quantum Cosmology Cosmology and Nongalactic Astrophysics We derive expressions for the first and second derivatives of the quintessence potential $V(ϕ)$, in terms of $λ= -V^{\prime}/V$ and $Γ= (V^{\prime \prime}/V)/(V^\prime/V)^2$, as functions of the quintessence density fraction $Ω_ϕ$ and the cosmographic parameters $q$, $j$, and $s$. Our mapping is not explicitly a function of the equation of state parameter $w$. We use these results, along with recent observational data, to derive expansions of $V(ϕ)$ about the present-day value of the scalar field, $ϕ_0$. |
| title | Direct cosmographic reconstruction of the quintessence potential |
| topic | General Relativity and Quantum Cosmology Cosmology and Nongalactic Astrophysics |
| url | https://arxiv.org/abs/2603.24214 |