Spherically symmetric cosmological perturbations in the de Donder gauge. 1: The basic equations

Astronomy and Astrophysics – Astrophysics

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Cosmology, Gauge Invariance, Perturbation Theory, Symmetry, Einstein Equations, Mass Distribution, Space Density, Spherical Coordinates

Scientific paper

Cosmological perturbations on a Flat Robertson-Walker (F-R-W) background are considered in a modified de Donder gauge. To guarantee the energy-momentum conservation for the perturbations in the de Donder gauge a compatibility condition is obtained. Finally we present the basic equations for the propagation of spherically symmetric perturbations. These equations are the basis for investigating the influence of cosmological epochs on the growing of density contrasts.

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