Vorticity of a perfect fluid undergoing a gravitational collapse

Details Vorticity of a perfect fluid undergoing a gravitational collapse Vorticity of a perfect fluid undergoing a gravitational collapse

Oct 1976

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1976aujph..29..413m&link_type=abstract

Australian Journal of Physics, vol. 29, Oct. 1976, p. 413-418.

Physics

Gravitational Collapse, Ideal Fluids, Magnetohydrodynamic Flow, Relativistic Plasmas, Relativity, Vorticity, Anisotropy, Isotropy, Magnetic Fields, Maxwell Equation, Rotating Fluids

Scientific paper

Cocke's (1966) technique for analysis of gravitational collapses in relativistic MHD is used to examine, in general relativity, the change in the vorticity of a rotating perfect fluid which undergoes a gravitational collapse. Both isotropic and nonisotropic collapses are considered. The vorticity propagation equation is derived in a form which is the same as Maxwell's equation for the magnetic field four-vector in relativistic MHD, which makes it possible to express the vorticity in terms of the spatial geometry. Significant departures from the predictions of nonrelativistic theory are revealed. The results obtained are shown to be in agreement with those derived previously by Ellis (1973).

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