Rotating Cylindrical Systems and Gravitomagnetism
B. Mashhoon (University of Missouri-Columbia), N. O. Santos (Cidade, Universitaria)
TL;DR
This paper explores gravitomagnetism in rotating cylindrical systems, analyzing the gravitomagnetic clock effect in vacuum spacetimes like the Lewis metric and van Stockum spacetime.
Contribution
It provides a detailed analysis of the gravitomagnetic clock effect in rotating cylindrical vacuum solutions, linking it to Weyl parameters and specific spacetime models.
Findings
The gravitomagnetic clock effect depends on Weyl parameters.
Explicit calculations for Lewis and van Stockum spacetimes.
Insights into gravitomagnetic phenomena in cylindrical geometries.
Abstract
We discuss gravitomagnetism in connection with rotating cylindrical systems. In particular, the gravitomagnetic clock effect is investigated for the exterior vacuum field of an infinite rotating cylinder. The dependence of the clock effect on the Weyl parameters of the stationary Lewis metric is determined. We illustrate our results by means of the van Stockum spacetime.
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