For purchase of this item, please read the instructions

Volume 14: Pages 106-122, 2001

A New Space‐Time Transformation

Shuangcai Zheng

c/o Z. Du, 3500 Sutherland Ave. J204, Knoxville, Tennessee 37919 U.S.A.

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.

Keywords: transformation of space‐time, transformation of momentum and energy, gravitational field of a spinning body

Received: July 31, 1998; Published online: December 15, 2008