Formulation of Special Relativity by Means of Galilean Transformations

Special relativity is formulated in terms of Galilean transformations. This is possible by using the principle of general covariance in the framework of special relativity. In particular the relativistic contraction of lengths and time dilation are discussed. It is further shown that classical electrodynamics also can be formulated consistently when using Galilean transformations. Finally, this result is illustrated by evaluating the field of a uniformly moving charge.