  We use Generalized Fermi-Walker transport to construct a one-parameter family
of inertial frames which are instantaneously comoving to a uniformly
accelerated observer. We explain the connection between our approach and that
of Mashhoon. We show that our solutions of uniformly accelerated motion have
constant acceleration in the comoving frame. Assuming the Weak Hypothesis of
Locality, we obtain local spacetime transformations from a uniformly
accelerated frame $K'$ to an inertial frame $K$. The spacetime transformations
between two uniformly accelerated frames with the same acceleration are
Lorentz. We compute the metric at an arbitrary point of a uniformly accelerated
frame.
