On the gravitomagnetic effects in cylindrically symmetric spacetimes

TL;DR

This paper investigates gravitomagnetic effects in cylindrically symmetric spacetimes, extending previous results from rotating dust cylinders to general Lewis vacuum spacetimes and comparing them with Kerr spacetime outcomes.

Contribution

It generalizes the gravitomagnetic clock effect analysis from rotating dust cylinders to Lewis vacuum spacetimes, providing broader insights into gravitomagnetic phenomena.

Findings

Gravitomagnetic effects are characterized in Lewis spacetimes.

Comparison shows differences between cylindrical and Kerr spacetime effects.

Results highlight the influence of spacetime symmetry on gravitomagnetic phenomena.

Abstract

Using gyroscopes we generalize results, obtained for the gravitomagnetic clock effect in the particular case when the exterior spacetime is produced by a rotating dust cylinder, to the case when the vacuum spacetime is described by the general cylindrically symmetric Lewis spacetime. Results are contrasted with those obtained for the Kerr spacetime.