Phys. Rev. D 69, 064012 (2004) [13 pages]Toroidal perturbations of Friedmann-Robertson-Walker universesReceived 28 June 2003; published 17 March 2004 Explicit expressions are found for the axisymmetric metric perturbations of the closed, flat and open Friedmann-Robertson-Walker universes caused by toroidal motions of the cosmic fluid. The perturbations are decomposed in vector spherical harmonics on 2-spheres, but the radial dependence is left general. Solutions for general odd-parity l-pole perturbations are given for either angular velocities or angular momenta prescribed. In particular, in the case of closed universes the solutions require a special treatment of the Legendre equation. © 2004 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevD.69.064012
DOI:
10.1103/PhysRevD.69.064012
PACS:
04.20.-q, 98.80.Jk
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