Finite perturbations on Friedmann-Robertson-Walker models

Mathematics – Logic

Scientific paper

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Astronomical Models, Cosmology, Perturbation Theory, Relativity, Approximation, Density Distribution, Eigenvalues, Space-Time Functions, Temporal Distribution

Scientific paper

By dimensional reduction of solutions of Einstein's equations in five-dimensional vacuum, two metrics are derived which can be interpreted as finite cylindrical perturbations of the solitonic type on a radiative Friedmann-Robertson-Walker (FRW) cosmological background. A linear perturbative analysis is performed and is compared with the exact nonlinear results. The metrics are transformed to perfect fluid solutions representing finite soliton perturbations on a FRW background with stiff matter. One metric contains density modes, and the other includes the coupling between density and radiative modes.

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