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In this paper we investigate the inflationary phenomenology of anEinstein-Gauss-Bonnet theory compatible with the GW170817 event, by imposingthe constant-roll evolution on the scalar field. We develop the constant-rollGW170817-compatible Einstein-Gauss-Bonnet formalism, and we calculate theslow-roll indices and the observational indices of inflation, for severalmodels of interest. As we demonstrate, the phenomenological viability of themodels we study is achieved for a wide range of the free parameters. Inaddition, for the same values of the free parameters that guarantee theinflationary phenomenological viability of the models, we also make predictionsfor the non-Gaussianities of the models, since the constant-roll evolution isknown to enhance non-Gaussianities. As we show the non-Gaussianities are of thesame order for the slow-roll and constant-roll case, and in fact in some cases,the amount of the non-Gaussianities is smaller in the constant-roll case.

GW170817-compatible Constant-roll Einstein-Gauss-Bonnet Inflation and Non-Gaussianities