Compatibility of Einstein-Gauss-Bonnet inflation theory with non-minimal derivative coupling in the constant-roll
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Abstract
Inflation is a theory in cosmology that explains that the early universe experienced
a very fast expansion in a very short time and is able to explain some cosmological problems
and the presence of gravitational waves generated during the inflation period. Based on the
event GW170817, it was found that c2t = 1, which indicates that the speed of gravitational
waves is nearly equal to the speed of light. This contradicts several modified theories of gravity,
one of which is the Einstein-Gauss-Bonnet theory. This paper examines the compatibility of
Einstein-Gauss-Bonnet inflation theory with the GW170817 phenomenon, with the addition of
the Non-minimal derivative coupling term and the constant-roll approach and its characteristics.
The formulation of observational quantities is carried out using Horndeski theory and Effective
Field Theory with ADM formalism and the calculations are done numerically. The constant
values are selected in such a way that the spectral index values and tensor-scalar ratios are close
to the 2018 Planck data. The results found that this theory is compatible with GW170817 with
the influence of Gauss-Bonnet term and constant-roll parameter β most dominant.
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References
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