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| Format: | Preprint |
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2023
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| Online Access: | https://arxiv.org/abs/2301.02631 |
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| _version_ | 1866917132506234880 |
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| author | Taghavi, S. Golanbari, T. Saaidi, Kh. |
| author_facet | Taghavi, S. Golanbari, T. Saaidi, Kh. |
| contents | Understanding how early-universe inflation may emerge from generalized holographic energy densities within modified gravity motivates the present analysis. We develop a self-consistent inflationary scenario in which the Tsallis holographic dark energy (THDE) density effectively acts as the inflaton potential in $f(R,T)$ gravity. Using the Granda-Oliveros infrared cutoff, we derive the corresponding slow-roll relations and identify a broad region of the parameter space $(α,β,δ,λ)$ that remains consistent with ACT DR6 (P-ACT-LB) constraints.
By exploiting the dependence of the THDE density on the Hubble rate, we reconstruct the inflaton potential $V(ϕ)$ and show that both the field excursion $Δϕ$ and the normalized potential gradient $|V'|/(V M_{p})$ are predominantly controlled by the matter-geometry coupling $λ$. We demonstrate that $λ\gtrsim \mathcal{O}(10^{2})$ suppresses the field excursion below the Planck scale and ensures $|V'|/(V M_{p}) \ge 1$, thereby satisfying both the distance conjecture and the refined de Sitter swampland bound.
We also analyze the reheating stage. In addition to the primordial nucleosynthesis requirement $T_{\rm BBN} \approx 4~\mathrm{MeV}$, which sets a lower limit on the reheating temperature, the observational bound $ΔN_{\rm eff} \le 0.17$ imposes an additional constraint from primordial gravitational waves (PGWs). During stiff reheating phases with $ω_{\rm re} > 1/3$, the high-frequency PGW spectrum is significantly enhanced, producing a distinct signature that may fall within the sensitivity of upcoming detectors.
Overall, this work provides an observationally consistent realization of holographic inflation in $f(R,T)$ gravity, jointly constrained by CMB data, swampland criteria, reheating physics, and PGW limits. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2301_02631 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Tsallis holographic inflation in $f(R,T)$ gravity: CMB constraints, reheating, and swampland implications Taghavi, S. Golanbari, T. Saaidi, Kh. General Relativity and Quantum Cosmology Understanding how early-universe inflation may emerge from generalized holographic energy densities within modified gravity motivates the present analysis. We develop a self-consistent inflationary scenario in which the Tsallis holographic dark energy (THDE) density effectively acts as the inflaton potential in $f(R,T)$ gravity. Using the Granda-Oliveros infrared cutoff, we derive the corresponding slow-roll relations and identify a broad region of the parameter space $(α,β,δ,λ)$ that remains consistent with ACT DR6 (P-ACT-LB) constraints. By exploiting the dependence of the THDE density on the Hubble rate, we reconstruct the inflaton potential $V(ϕ)$ and show that both the field excursion $Δϕ$ and the normalized potential gradient $|V'|/(V M_{p})$ are predominantly controlled by the matter-geometry coupling $λ$. We demonstrate that $λ\gtrsim \mathcal{O}(10^{2})$ suppresses the field excursion below the Planck scale and ensures $|V'|/(V M_{p}) \ge 1$, thereby satisfying both the distance conjecture and the refined de Sitter swampland bound. We also analyze the reheating stage. In addition to the primordial nucleosynthesis requirement $T_{\rm BBN} \approx 4~\mathrm{MeV}$, which sets a lower limit on the reheating temperature, the observational bound $ΔN_{\rm eff} \le 0.17$ imposes an additional constraint from primordial gravitational waves (PGWs). During stiff reheating phases with $ω_{\rm re} > 1/3$, the high-frequency PGW spectrum is significantly enhanced, producing a distinct signature that may fall within the sensitivity of upcoming detectors. Overall, this work provides an observationally consistent realization of holographic inflation in $f(R,T)$ gravity, jointly constrained by CMB data, swampland criteria, reheating physics, and PGW limits. |
| title | Tsallis holographic inflation in $f(R,T)$ gravity: CMB constraints, reheating, and swampland implications |
| topic | General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2301.02631 |