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A slowly rotating perfect fluid body in an ambient vacuum

Michael Bradley1, Gyula Fodor2,3 and Zoltán Perjés2

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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.


PACS

04.40.Nr Einstein-Maxwell spacetimes, spacetimes with fluids, radiation or classical fields

04.20.-q Classical general relativity

MSC

83C25 Approximation procedures, weak fields

83C20 Classes of solutions; algebraically special solutions, metrics with symmetries

Subjects

Gravitation and cosmology

Dates

Issue 14 (21 July 2000)

Received 2 February 2000, in final form 18 May 2000



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