Spherically symmetric perturbations of spatially flat Friedmann models with imperfect fluid

R.K. Muharlyamov1

Abstract

A solution to the linearized Einstein equations is obtained for spherically symmetric perturbations of an imperfect fluid in a spatially flat Friedman model. The fluid density and pressure are assumed to be related by a linear equation of state. We consider perturbations with some spatial configuration which is nonsingular at the point r = 0. The instability problem for gravitational perturbations is studied, and solution are obtained depending on the functional form of the bulk and shear viscosity.

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