Dj. Schwarz, ANALYTIC SOLUTIONS FOR COSMOLOGICAL PERTURBATIONS IN MULTIDIMENSIONALSPACE-TIME, International journal of modern physics D, 3(1), 1994, pp. 265-268
We obtain analytic solutions for the density contrast and the anisotro
pic pressure in a multi-dimensional FRW cosmology with collisionless,
massless matter. These are compared with perturbations of a perfect fl
uid universe. To describe the metric perturbations we use manifest gau
ge invariant metric potentials. The matter perturbations are calculate
d by means of (automatically gauge invariant) finite temperature field
theory, instead of kinetic theory.