Toroidal Perturbations of Friedmann-Robertson-Walker Universes

Details Toroidal Perturbations of Friedmann-Robertson-Walker Universes Toroidal Perturbations of Friedmann-Robertson-Walker Universes

2003-09-26

arxiv.org/abs/gr-qc/0309127v1

Phys.Rev. D69 (2004) 064012

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

13 pages

Scientific paper

10.1103/PhysRevD.69.064012

Explicit expressions are found for the axisymmetric metric perturbations of the closed, flat and open FRW 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 case of closed universes the solutions require a special treatment of the Legendre equation.

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