On the existence of rotating stars in general relativity.

Details On the existence of rotating stars in general relativity. On the existence of rotating stars in general relativity.

Jan 1995

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1995cmaph.166r.457h&link_type=abstract

Commun. Math. Phys., Vol. 166, No. 3, p. 457 - 493

Physics

General Relativity: Stellar Rotation

Scientific paper

The Newtonian equations of motion, and Newton's law of gravitation can be obtained by a limit λ = 1/c2 → 0 of Einstein's equations. For a sufficiently small constant Λ the existence of a set of solutions (0 ≤ λ ≤ Λ) of Einstein's equations of a stationary, axisymmetric star is proven. This existence is proven in weighted Sobolev spaces with the implicit function theorem. Since the value of the causality constant λ depends only on the units used to measure the velocity, the existence of a solution for any small λ is physically interesting.

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