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Gauge invariant cosmological perturbation theory with seeds

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Published in Physical Review. D. 1990, vol. 42, no. 8, p. 2533-2540
Abstract 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.
Stable URL http://archive-ouverte.unige.ch/unige:1014
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