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A slowly rotating perfect fluid body in an ambient vacuum

Michael Bradley, Gyula Fodor, Zoltán Perjés

gr-qcarXiv:gr-qc/0002014

Abstract

A global model of a slowly rotating perfect fluid ball in general relativity is presented. To second order in the rotation parameter, the junction surface is an ellipsoidal cylinder. The interior is given by a limiting case of the Wahlquist solution, and the vacuum region is not asymptotically flat. The impossibility of joining an asymptotically flat vacuum region has been shown in a preceding work.

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