Spherical mass immersed in a cosmological universe - A class of solutions. II

Mathematics – Logic

Scientific paper

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Astronomical Models, Cosmology, Relativity, Universe, Gravitational Fields, Hypergeometric Functions, Hyperspaces, Mathematical Models

Scientific paper

In a previous paper we considered what we called a 'two-regions solution'. We developed the exact and general solution of a spherical mass embedded in a cosmological fluid, the material tensor of each region being described by a perfect fluid with a mass density depending on the time only. We generalize that solution to an n-layer model, the central object being represented for example by the (n-1) first layers, the last one describing the cosmos.

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