Toroidal perturbations of Friedmann-Robertson-Walker universes

Article

Toroidal perturbations of Friedmann-Robertson-Walker universes

Bičák, J.; Lynden-Bell, D.; Katz, J.

Phys. Rev. D 69(0), 064012 (2004)

Abstract

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.

Institute authors

Bičák, Jiří

Supported by

GACR 202/02/0735 — Relativistic physics and astrophysics 2002-04

BibTeX

@article{UTF227,
  author        = {Bičák, J. and Lynden-Bell, D. and Katz, J.},
  title         = {{Toroidal perturbations of Friedmann-Robertson-Walker universes}},
  journal       = {Phys. Rev. D},
  volume        = {69},
  number        = {0},
  pages         = {064012},
  year          = {2004},
  doi           = {10.1103/PhysRevD.69.064012},
  eprint        = {gr-qc/0309127},
  archivePrefix = {arXiv},
  url           = {http://prola.aps.org/abstract/PRD/v69/i6/e064012},
}