Local inhomogeneities in a Robertson-Walker background. I - General framework

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Astronomical Models, Cosmology, Gravitation Theory, Relativity, Einstein Equations, Inhomogeneity, Metric Space

Scientific paper

A complete generalization of the 'Swiss cheese' type of locally inhomogeneous cosmologies is given. Neither the explicit form of the spherically symmetric interior metric nor the spatial curvature and equation of state of the Robertson-Walker background is restricted a priori. The history, mass, and mass growth rate of any timelike inhomogeneity is developed in terms of a single function characteristic of the inhomogeneity. Recent results which have generalized the standard 'Swiss cheese' case to a Vaidya interior metric follow immediately from the framework given here.

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