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arXiv · 2603.24214

Direct cosmographic reconstruction of the quintessence potential

Saikat Chakraborty·Peter K. S. Dunsby·Robert J. Scherrer
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Abstract

We derive expressions for the first and second derivatives of the quintessence potential $V(\phi)$, in terms of $\lambda = -V^{\prime}/V$ and $\Gamma = (V^{\prime \prime}/V)/(V^\prime/V)^2$, as functions of the quintessence density fraction $\Omega_\phi$ 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 $V(\phi)$ about the present-day value of the scalar field, $\phi_0$.

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Saikat Chakraborty, Peter K. S. Dunsby, Robert J. Scherrer. 2026-03-25. Direct cosmographic reconstruction of the quintessence potential. https://arxiv.org/abs/2603.24214

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