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Journal Article

Toroidal Perturbations of Friedmann-Robertson-Walker Universes

MPS-Authors

Bicak,  Jiri
Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

Lynden-Bell,  Donald
Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

Katz,  Joseph
Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Citation

Bicak, J., Lynden-Bell, D., & Katz, J. (2004). Toroidal Perturbations of Friedmann-Robertson-Walker Universes. Physical Review D, 69(6): 064012.


Cite as: https://hdl.handle.net/11858/00-001M-0000-0013-5054-3
Abstract
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.