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The evolution of inhomogeneities in expanding Newtonian cosmologies. (English) Zbl 0697.76133

Summary: New variables (covariant and gauge invariant quantities) have recently been defined that characterize density inhomogeneities in an almost uniform relativistic universe in a transparent way. In this paper the Newtonian version of this formalism is derived and its properties examined. A second-order vector ordinary differential equation enables a unified and transparent derivation of a series of results on the growth of density inhomogeneities in the expanding universe.

MSC:

76Y05 Quantum hydrodynamics and relativistic hydrodynamics
83F05 Relativistic cosmology
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