Analytical solutions for cosmological perturbations with relativistic collisionless matter

Details Analytical solutions for cosmological perturbations with relativistic collisionless matter Analytical solutions for cosmological perturbations with relativistic collisionless matter

Jan 1992

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992nuphb.368..479r&link_type=abstract

Nuclear Physics B, Volume 368, Issue 2, p. 479-508.

Physics

Nuclear Physics

24

Scientific paper

Thermal field theory is used for the derivation of self-consistent and automatically gauge-invariant equations for cosmological perturbations. Exact, analytical solutions are obtained for scalar, vector, and tensor perturbations in the general case of a two-component system containing a perfect radiation fluid and relativistic collisionless matter. The results for scalar (energy density) perturbations agree with previous numerical integrations of the Einstein-Boltzmann equations, whereas new results are found for the vector and tensor sector. Particularly interesting are the solutions for vector perturbations on superhorizon scales, where a growing mode corresponding to spontaneous generation of vorticity in the collisionless component is found.

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