The Einsteinian gravitational field of the rigidly rotating disk of dust

Details The Einsteinian gravitational field of the rigidly rotating disk of dust The Einsteinian gravitational field of the rigidly rotating disk of dust

Sep 1993

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1993apj...414l..97n&link_type=abstract

Astrophysical Journal, Part 2 - Letters (ISSN 0004-637X), vol. 414, no. 2, p. L97-L99.

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69

Computational Astrophysics, Cosmic Dust, Cosmology, Einstein Equations, Gravitational Fields, Rotating Disks, Angular Velocity, Boundary Value Problems, Integral Equations, Quasars, Red Shift

Scientific paper

This paper presents the gravitational field of a uniformly rotating stationary and axisymmetric disk consisting of dust particles as a rigorous global solution to the Einstein equations. The problem is formulated as a boundary value problem of the Ernst equation and solved by means of inverse methods. The solution is given in terms of linear integral equations and depends on two parameters: the angular velocity and the relative redshift from the center of the disk. The Newtonian limit z is much less than 1 represents the MacLaurin solution of a rotating fluid in the disk limit. For z approaches infinity the 'exterior' solution is given by the extreme Kerr solution. This proves a conjecture of Bardeen and Wagoner (1969, 1971).

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