Geometry of an accelerated rotating disk

Abstract

We analyze the geometry of a rotating disk with a tangential acceleration in the framework of the Special Theory of Relativity, using the kinematic linear differential system that verifies the relative position vector of time-like curves in a Fermi reference. A numerical integration of these equations for a generic initial value problem is made up and the results are compared with those obtained in other works.

10 pages, LaTeX, 2 eps figs; typos corrected, added reference, minor changes; submitted

References in corpus (4)

• Length measurement in accelerated systems
• The intrinsic derivative and centrifugal forces in general relativity: I. Theoretical foundations
• Space geometry of rotating platforms: an operational approach
• Simultaneity and generalized connections in general relativity