Thin Cylindrical Shell of Dust Under Rigid Rotation in General Relativity

Details Thin Cylindrical Shell of Dust Under Rigid Rotation in General Relativity Thin Cylindrical Shell of Dust Under Rigid Rotation in General Relativity

Dec 1978

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1978ijtp...17..975p&link_type=abstract

International Journal of Theoretical Physics, Volume 17, Issue 12, pp.975-983

Physics

2

Scientific paper

Following the method developed by Papapetrou and Hamoui, a solution of the Einstein equations corresponding to a thin shell of dust under rigid rotation solution is obtained. The region interior to the shell is flat and the exterior vacuum region is chosen as a Lewis manifold. An essential limitation of this type of shell is that it does not allow the limit M 1 and L 1→ 0, where M 1 and L 1 are the mass and the angular momentum per unit length. It is shown that the limitation is a consequence of the fact that the Lewis metric does not contain the Minkowski metric as a special case.

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