Abstract In this study, we explore the reheating phase that follows tachyon inflation within the framework of holographic induced gravity (H-IG). Analytical relations for the reheating temperature Tₑ₄ T re and the reheating number of e-folds Nₑ₄ N re are derived under the assumption of a constant effective equation of state ₑ₄ ω re. A numerical analysis is then performed over a broad range of model parameters namely c (holographic parameter), α (potential parameter), and γ (IG parameter). Incorporating the most recent observational constraints from the Atacama Cosmology Telescope (ACT), which indicate a moderate upward shift in the scalar spectral index, nₛ n s, relative to the Planck 2018 results, we reassess the viability of tachyon inflation with an exponential potential within this framework. Our analysis shows that when α is large (2. 5 10^-5) α ∼ 2. 5 × 10 - 5), the majority of parameter combinations are consistent with observational constraints, though the best fit for the reheating duration Nₑ₄ N re to the data occurs for smaller c (c 1 10^7 c ∼ 1 × 10 7) and higher γ (0. 9 γ ∼ 0. 9) while also satisfying the lower bound on the reheating temperature Tₑ₄ T re.
Bargach et al. (Sat,) studied this question.