Reconstructing inflation in Einstein-Gauss-Bonnet gravity in light of ACT data
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| Format: | Preprint |
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2026
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| _version_ | 1866917224808185856 |
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| author | Herrera, Ramón Ríos, Carlos |
| author_facet | Herrera, Ramón Ríos, Carlos |
| contents | During the inflationary epoch, we investigate the reconstruction of the background variables within the framework of Einstein-Gauss-Bonnet gravity, considering the scalar spectral index $n_s(N)$ and the tensor-to-scalar ratio $r(N)$, where $N$ denotes the number of $e-$folds. Under a general formalism, we determine the effective potential and the coupling function associated with the Gauss-Bonnet term as functions of the cosmological parameters $n_s(N)$ and $r(N)$, respectively. To implement the reconstruction methodology for the background variables, we study an example in which the attractors for the index $n_s$ and the ratio $r$ are in agreement with Atacama Cosmology Telescope (ACT) data. In this context, explicit expressions for the effective potential $V(ϕ)$ and the coupling parameter $ξ(ϕ)$ are reconstructed. Moreover, the reconstruction based on observational parameters shows that $V(ϕ)\not\propto 1/ξ(ϕ)$, in contrast to the assumption adopted in the literature for the study of the evolution of the universe in Einstein-Gauss-Bonnet gravity. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2601_18958 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Reconstructing inflation in Einstein-Gauss-Bonnet gravity in light of ACT data Herrera, Ramón Ríos, Carlos General Relativity and Quantum Cosmology Cosmology and Nongalactic Astrophysics High Energy Physics - Theory During the inflationary epoch, we investigate the reconstruction of the background variables within the framework of Einstein-Gauss-Bonnet gravity, considering the scalar spectral index $n_s(N)$ and the tensor-to-scalar ratio $r(N)$, where $N$ denotes the number of $e-$folds. Under a general formalism, we determine the effective potential and the coupling function associated with the Gauss-Bonnet term as functions of the cosmological parameters $n_s(N)$ and $r(N)$, respectively. To implement the reconstruction methodology for the background variables, we study an example in which the attractors for the index $n_s$ and the ratio $r$ are in agreement with Atacama Cosmology Telescope (ACT) data. In this context, explicit expressions for the effective potential $V(ϕ)$ and the coupling parameter $ξ(ϕ)$ are reconstructed. Moreover, the reconstruction based on observational parameters shows that $V(ϕ)\not\propto 1/ξ(ϕ)$, in contrast to the assumption adopted in the literature for the study of the evolution of the universe in Einstein-Gauss-Bonnet gravity. |
| title | Reconstructing inflation in Einstein-Gauss-Bonnet gravity in light of ACT data |
| topic | General Relativity and Quantum Cosmology Cosmology and Nongalactic Astrophysics High Energy Physics - Theory |
| url | https://arxiv.org/abs/2601.18958 |