Example of a rigorous solution for the gravitational field of a hollow, rotating cylinder

Details Example of a rigorous solution for the gravitational field of a hollow, rotating cylinder Example of a rigorous solution for the gravitational field of a hollow, rotating cylinder

Sep 1981

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1981gregr..13..837d&link_type=abstract

General Relativity and Gravitation, vol. 13, Sept. 1981, p. 837-852.

Physics

2

Field Theory (Physics), Gravitational Fields, Rotating Cylinders, Drag, Eigenvectors, Inertial Reference Systems, Vacuum

Scientific paper

A class of exact solutions - depending upon two dimensionless parameters - to the gravitational field equations is obtained, where the source of the field is a rotating, hollow cylinder of infinite length. The material properties, although highly idealized, nevertheless are not unrealistic and chosen in such a way as to allow elementary integration. The solutions show how the inertial frame inside the cylinder is dragged by the rotating material, and also how the drag continues inside the material and in the outside region. They are exact examples for the Lense-Thirring effect.

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