The reheating constraints to natural inflation in Horndeski gravity

Author:

Chien Chen-Hsu,Koh Seoktae,Tumurtushaa GansukhORCID

Abstract

AbstractFor the subclass of Horndeski theory of gravity, we investigate the effects of reheating on the predictions of natural inflation. In the presence of derivative self-interaction of a scalar field and its kinetic coupling to the Einstein tensor, the gravitational friction to inflaton dynamics is enhanced during inflation. As a result, the tensor-to-scalar ratio r is suppressed. We place the observational constraints on a natural inflation model and show that the model is now consistent with the observational data for some plausible range of the model parameter $$\varDelta $$ Δ , mainly due to the suppressed tensor-to-scalar ratio. To be consistent with the data at the $$1\sigma $$ 1 σ ($$68\%$$ 68 % confidence) level, a slightly longer natural inflation with $$N_k\gtrsim 60$$ N k 60 e-folds, longer than usually assumed, is preferred. Since the duration of inflation, for any specific inflaton potential, is linked to reheating parameters, including the duration $$N_{re}$$ N re , temperature $$T_{re}$$ T re , and equation-of-state $$\omega _{re}$$ ω re parameter during reheating, we imposed the effects of reheating to the inflationary predictions to put further constraints. The results show that reheating consideration impacts the duration of inflation $$N_k$$ N k . If reheating occurs instantaneously for which $$N_{re}=0$$ N re = 0 and $$\omega _{re}=1/3$$ ω re = 1 / 3 , the duration of natural inflation is about $$N_k\simeq 57$$ N k 57 e-folds, where the exact value is less sensitive to the model parameter $$\varDelta $$ Δ compatible with the CMB data. The duration of natural inflation is longer (or shorter) than $$N_k\simeq 57$$ N k 57 e-folds for the equation of state larger (or smaller) than 1/3 hence $$N_{re}\ne 0$$ N re 0 . The maximum temperature at the end of reheating is $$T_{re}^\text {max}\simeq 3\times 10^{15}$$ T re max 3 × 10 15 GeV, which corresponds to the instantaneous reheating. The low reheating temperature, as low as a few MeV, is also possible when $$\omega _{re}$$ ω re is closer to 1/3.

Funder

National Research Foundation of Korea

Publisher

Springer Science and Business Media LLC

Subject

Physics and Astronomy (miscellaneous),Engineering (miscellaneous)

Cited by 4 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Higgs inflation with a Gauss-Bonnet term;Physical Review D;2024-07-18

2. Towards a possible solution to the Hubble tension with Horndeski gravity;The European Physical Journal C;2024-03-02

3. Universe bouncing its way to inflation;International Journal of Modern Physics D;2024-01-30

4. The nonlinear anisotropic model of the Universe with the linear potential;Indian Journal of Physics;2022-12-23

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