Titre du document

Rotating fluid masses in general relativity

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Nom du Corpus

AstroConcepts

Auteur(s)
  • R. H. Boyer
Affiliation(s)
  • University of Liverpool
Résumé

In what follows we shall derive some properties of the gravitational field of an isolated, axially symmetric, uniformly rotating mass of perfect fluid in a steady state, according to the general theory of relativity. Several exact models describing rotating fluids are known in Newtonian mechanics, the Maclaurin and Jacobi ellipsoids ((6)) being perhaps the most interesting. In general relativity, no such exact solution is known in its entirety, although Kerr ((4)) has exhibited a certain vacuum solution possessing features that one might expect of a space-time exterior to some rotating body. Throughout this paper we shall have Kerr's solution in mind. The question that we shall keep before us is whether a perfect fluid interior can be matched to any given exterior field. Our main results exhibit the class of all possible fluid boundaries, given the exterior field, and some relations between the pressure, density, 4-velocity, and interior metric tensor.

Langue(s) du document
Anglais
Année de publication
1965
Revue

Mathematical Proceedings of the Cambridge Philosophical Society

Éditeur
Cambridge
Type de publication
journal
Type de document
research-article
Présence de XML structuré
Non
Version de PDF
1.4
Score de qualité du texte
4.996
Nom du concept
  • Kerr metric
Catégories Inist
  • 1 - sciences appliquees, technologies et medecines ; 2 - sciences exactes et technologie
Identifiant ISTEX
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