Spin-1/2 particles in a teleparallel universe when a constant electric field is present

In this work, we focus on the dynamics of Dirac particles in the presence of constant electric field in a cosmological anisotropic universe. Instead of Einstein?s theory of general relativity, we perform the calculations using the teleparallel theory of gravity. First, we find the exact solutions of the teleparallel Dirac equation in an anisotropic Bianchi-I universe. Second, the harmonic oscillator behavior of the solutions is discussed and then the oscillation frequency is quantized. Third, we investigated the spin precession of Dirac particles and dispute the axial-vector spin coupling term. Finally, we give some remarks on the creation of the massive spin-1/2 particles. It is interesting to mention here that the results are independent from three teleparallel dimensionless parameters which means the results are valid in any teleparallel model.