Formation of cosmological mass condensation within a FRW universe: exact general relativistic solutions

Abstract

Within the framework of an exact general relativistic formulation of gluing manifolds, we consider the problem of matching an inhomogeneous overdense region to a Friedmann-Robertson-Walker background universe in the general spherical symmetric case of pressure-free models. It is shown that, in general, the matching is only possible through a thin shell, a fact ignored in the literature. In addition to this, in subhorizon cases where the matching is possible, an intermediate underdense region will necessarily arise.

6 pages

References in corpus (1)

• Junction Conditions of Friedmann-Robertson-Walker Space-Times

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