https://doi.org/10.1140/epjc/s10052-020-08582-8
Regular Article - Theoretical Physics
Gauss–Bonnet inflation with a constant rate of roll
School of Physics and Optoelectronic Engineering, Xidian University, 710071, Xi’an, China
Received:
10
August
2020
Accepted:
19
October
2020
Published online:
2
November
2020
In the model of the inflaton nonminimal coupling to the Gauss–Bonnet term, we discuss the constant-roll inflation with constant 
, constant 
and constant 
, respectively, with the additional assumption that 
is a constant. Using the Bessel function approximation, we get the analytical expressions for the scalar and tensor power spectrum and derive the scalar spectral index 
and the tensor to scalar ratio r to the first order of . By using the Planck 2018 observations constraint on and r, we obtain some feasible parameter space and show the result on the 
region. The scalar potential is also reconstructed in some special cases.
© The Author(s) 2020
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