A rotating dust cloud in general relativity II

Details A rotating dust cloud in general relativity II A rotating dust cloud in general relativity II

Dec 2005

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2005gregr..37.2245b&link_type=abstract

General Relativity and Gravitation, Volume 37, Issue 12, pp.2245-2250

Physics

1

Rotation, Spinning Layer

Scientific paper

I give a stationary solution of Einstein's equations representing a rotating cloud of dust. The solution is asymptotically flat, and has no curvature singularities. However, embedded in the cloud is a rotating surface layer of negative mass which precisely cancels the mass of the dust cloud. The solution throws light on the van Stockum class of rotating dust solutions, of which it is a member.

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