Exact general relativistic rotating thick disks

D. Vogt and P. S. Letelier
Phys. Rev. D 76, 084010 – Published 12 October 2007

Abstract

Two families of exact general relativistic rotating thick disks based on the Kerr metric are obtained by applying two kinds of transformation on the Kerr solution. The first is the one proposed by Miyamoto and Nagai in the context of Newtonian galactic models, and the second one is based on the “displace, cut, fill and reflect” method. Both kinds of disks have well-behaved energy-density distributions. A stability analysis of circular orbits on the z=0 plane shows that for large values of the Kerr parameter some retrograde orbits tend to be unstable.

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  • Received 23 May 2007

DOI:https://doi.org/10.1103/PhysRevD.76.084010

©2007 American Physical Society

Authors & Affiliations

D. Vogt* and P. S. Letelier

  • Departamento de Matemática Aplicada-IMECC, Universidade Estadual de Campinas, 13083-970 Campinas, S.P., Brazil

  • *dvogt@ime.unicamp.br
  • letelier@ime.unicamp.br

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Issue

Vol. 76, Iss. 8 — 15 October 2007

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