A slowly rotating perfect fluid body in an ambient vacuum

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.

7 pages, published version

References in corpus (2)

• On the construction of global models describing rotating bodies; uniqueness of the exterior gravitational field
• Axistationary perfect fluids -- a tetrad approach

Cited by in corpus (7)

• Slowly rotating fluid balls of Petrov type D
• Stationary axisymmetric exteriors for perturbations of isolated bodies in general relativity, to second order
• The quadrupole moment of slowly rotating fluid balls
• On the equivalence of approximate stationary axially symmetric solutions of Einstein field equations
• Petrov types of slowly rotating fluid balls
• Slowly rotating perfect fluids with a cosmological constant
• Wahlquist Metric Revisited