On the Weyl transverse frames in type I spacetimes

We apply a covariant and generic procedure to obtain explicit expressions of the transverse frames that a type I spacetime admits in terms of an arbitrary initial frame. We also present a simple and general algorithm to obtain the Weyl scalars ₂^T, ₀^T and ₄^T associated with these transverse frames. In both cases it is only necessary to choose a particular root of a cubic expression.