Barotropic perfect fluid in steady cylindrically symmetric rotation

Details Barotropic perfect fluid in steady cylindrically symmetric rotation Barotropic perfect fluid in steady cylindrically symmetric rotation

Jan 1997

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1997cqgra..14..119d&link_type=abstract

Classical and Quantum Gravity, Volume 14, Issue 1, pp. 119-127 (1997).

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Assuming a particular form of metric containing seven constant parameters, Einstein's equations are solved for a perfect fluid in steady cylindrically symmetric rigid-body rotation about a regular axis, the equation of state being 0264-9381/14/1/013/img1 where 0264-9381/14/1/013/img2. The resultant metric contains two free parameters. The angular velocity of the vortex is finite, and the motion in the radially infinite cylinder is without shear. The pressure p and density 0264-9381/14/1/013/img3 are also finite, vanishing at infinity. There are no singularities in the spacetime, which is of Petrov type I except for the case 0264-9381/14/1/013/img4 which is of type D. Some other cases, falling outside the range of 0264-9381/14/1/013/img5 given above, are discussed briefly.

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