Uniform rate inflation in $f(T, \mathcal{T})$-gravity

We present uniform rate inflation in a modified $f(T, \mathcal{T})$ gravity. It is found that early inflation can be realized even with a scalar field field with a quadratic potential and a negative cosmological constant. We construct inflationary model for the inflaton field without slow-roll approximation. The inflaton field rolling at a constant speed permits a universe with sufficient inflation which encompasses the present universe fairly well. The initial value of the scalar satisfies a lower limit which is sufficiently large compared to the field required for chaotic inflation. The Planck prediction for cosmological perturbations are estimated. It is found that the cosmological model is stable.