Brane Constant-roll Inflation

Understand

The scenario of constant-roll inflation in the frame of the RSII brane gravity model is considered.

• Based on the scenario, the smallness of the second slow-roll parameter is released and it is assumed as a constant which could be of the order of unity.
• Applying the Hamilton-Jacobi formalism, the constancy of the parameter gives a differential equation for the Hubble parameter which leads to an exact solution for the model.
• Reconsidering the perturbation equations we show there are some modified terms appearing in the amplitude of the scalar perturbations and in turn in the scalar spectral index and tensor-to-scalar ratio.