Gauge-invariant cosmological perturbation theory with seeds.

Gauge-invariant cosmological perturbation theory is extended to handle perturbations induced by seeds. A calculation of the Sachs-Wolfe effect is presented. A second-order differential equation for the growth of density perturbations is derived and the perturbation of Liouville's equation for collisionless particles is also given. The results are illustrated by a simple analytic example of a single texture knot, where we calculate the induced perturbations of the energy of microwave photons, of baryonic matter, and of collisionless particles. DURRER, Ruth. Gauge invariant cosmological perturbation theory with seeds. Physical Review. D, 1990, vol. 42, no. 8, p. 2533-2540 DOI : 10.1103/PhysRevD.42.2533 Available at: http://archive-ouverte.unige.ch/unige:1014 Disclaimer: layout of this document may differ from the published version.