A new space-time transformation

The transformation of relativistic space-time between two coordinate systems, one of which is rotating with respect to another at a constant angular velocity, is established in this paper. From the transformation, we deduce a series of transformations between the two coordinate systems: the transformation of velocity, the transformation of acceleration, the transformation of momentum and energy, and the transformation of force. And from several formulas for these transformations, we deduce a new formula for the Doppler effect and the gravitational field of a spinning body. At the same time some fundamental concepts of relativity are discussed.