Post-Newtonian oscillations of a rotating disk of dust

Details Post-Newtonian oscillations of a rotating disk of dust Post-Newtonian oscillations of a rotating disk of dust

Nov 1994

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1994phrvd..50.6217k&link_type=abstract

Physical Review D (Particles, Fields, Gravitation, and Cosmology), Volume 50, Issue 10, 15 November 1994, pp.6217-6226

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Post-Newtonian Approximation, Perturbation Theory, Related Approximations, Self-Gravitating Systems, Continuous Media And Classical Fields In Curved Spacetime

Scientific paper

At the first post-Newtonian approximation to general relativity, analytic solutions are presented for the motions of generalized MacLaurin disks of dust. The main result consists in the solution for a rotating and oscillating disk. This disk has the remarkable property that, in contrast with its Newtonian analogue, it is rotating nonuniformly. Even in the stationary limit of a vanishing oscillation amplitude, the rotation law does not become rigid. On the other hand, by imposing initially uniform rotation and nonoscillatory motion, the motion is found in agreement with earlier results by Bardeen and Wagoner. The solution of the collapsing generalized MacLaurin disk without rotation is presented also.

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