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| Format: | Preprint |
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2025
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| Online Access: | https://arxiv.org/abs/2511.13045 |
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| _version_ | 1866915630635024384 |
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| author | Abhisheki, Mayur Das, Prasanta Kumar |
| author_facet | Abhisheki, Mayur Das, Prasanta Kumar |
| contents | In this work, we study the early universe inflation and the post-inflation reheating era employing an inverse tangent potential of the form $V=V_0 \cdot[tan^{-1}(\frac{κϕ}{m_p})]^2$, where $κ$ is a free parameter of the potential and $m_p$ is the reduced Planck mass. We derive the slow roll parameters, the number of e-folds(N), the scalar spectral index $n_s$, the tensor-to-scalar ratio $r$, and the tensor spectral index $n_T$ for the inverse tangent potential. We examine the inflationary observables using the data of the Planck-2018 and recent ACT collaboration and obtain constraints on the potential parameter $κ$. We also employ a reheating analysis by invoking the conservation of entropy between today and the time when reheating starts. We obtain bounds on the reheating temperature $T_{re}$ and the number of e-folds of the reheating $N_{re}$ using the spectral-index $n_s$ constraints from Planck 2018 and the ACT results. We show that this inverse-tangent potential can act as an alternative to the standard inflationary potentials like Starobinsky which are excluded at $2σ$ level by the recent sixth data release (DR6) of the Atacama Cosmology Telescope (ACT) collaboration. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2511_13045 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Reheating and Inflationary dynamics driven by an inverse tangent potential Abhisheki, Mayur Das, Prasanta Kumar Cosmology and Nongalactic Astrophysics In this work, we study the early universe inflation and the post-inflation reheating era employing an inverse tangent potential of the form $V=V_0 \cdot[tan^{-1}(\frac{κϕ}{m_p})]^2$, where $κ$ is a free parameter of the potential and $m_p$ is the reduced Planck mass. We derive the slow roll parameters, the number of e-folds(N), the scalar spectral index $n_s$, the tensor-to-scalar ratio $r$, and the tensor spectral index $n_T$ for the inverse tangent potential. We examine the inflationary observables using the data of the Planck-2018 and recent ACT collaboration and obtain constraints on the potential parameter $κ$. We also employ a reheating analysis by invoking the conservation of entropy between today and the time when reheating starts. We obtain bounds on the reheating temperature $T_{re}$ and the number of e-folds of the reheating $N_{re}$ using the spectral-index $n_s$ constraints from Planck 2018 and the ACT results. We show that this inverse-tangent potential can act as an alternative to the standard inflationary potentials like Starobinsky which are excluded at $2σ$ level by the recent sixth data release (DR6) of the Atacama Cosmology Telescope (ACT) collaboration. |
| title | Reheating and Inflationary dynamics driven by an inverse tangent potential |
| topic | Cosmology and Nongalactic Astrophysics |
| url | https://arxiv.org/abs/2511.13045 |