Published July 2, 2025 | Version v1
Journal article Open

Reconstructing $\textit{f}$($\textit{T}$) gravity and exploring the torsion driven warm inflationary cosmology

  • 1. Department of Mathematics, Amity University, Major Arterial Road, Action Area II, Rajarhat, New Town, Kolkata, 700135, India
  • 2. Department of Mathematics, Arts and Sciences Faculty, Çanakkale Onsekiz Mart University, Terzioglu Campus, Çanakkale, 17100, Turkey

Description

The current paper reports an investigation of a warm inflationary scenario in the context of $\textit{f}$($\textit{T}$) gravity for a spatially flat FLRW universe. In our model, inflation is driven purely by the torsional sector of $\textit{f}$($\textit{T}$) gravity, without introducing any additional scalar fields. We focus on the high dissipative regime ( ), reconstruct the Hubble parameter as a function of the e-folding number $\textit{N}$, and derive the slow-roll parameters and . The study has encapsulated the dynamics of inflation and its duration under strong dissipation. The dissipative coefficient is modeled with a temperature-dependent power-law form, linking the inflationary dynamics to thermal corrections and the particle content of the early universe. The analysis has affirmed that the torsion-induced energy density successfully transitions to radiation energy density , facilitating a graceful exit from inflation. Finally, we have validated our model by comparing the scalar spectral index and tensor-to-scalar ratio with Planck 2018 results, demonstrating consistency within observational bounds. Additionally, it is verified that the thermal domination condition and the torsion dominance condition are satisfied.

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