Interior solutions for rotating fluid spheres

Details Interior solutions for rotating fluid spheres Interior solutions for rotating fluid spheres

Oct 1985

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985phrvd..32.1857w&link_type=abstract

Physical Review D (Particles and Fields), Volume 32, Issue 8, 15 October 1985, pp.1857-1862

Physics

13

Exact Solutions

Scientific paper

Equations depicting the interior of rotating fluid spheres are investigated. The analysis leads to a class of solutions which contains all previously known interiors incorporating slow uniform rotation, and several new metrics are presented. One is the slow-rotation analog of the Schwarzschild interior, which until now was known only through numerical integration of the field equations. Models are developed for a solution by Tolman, a recent interior presented by the author, and the slow-rotation approximation of the Wahlquist interior. Expressions for inertial-frame dragging and the moments of inertia for these metrics are presented.

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