Relativistic Hydrodynamics and Gravitational Instability Revisited

Astronomy and Astrophysics – Astronomy

Scientific paper

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Gravitation - Hydrodynamics - Instabilities - Relativity - Large-Scale Structure Of Universe

Scientific paper

After some 90 years of effort, the phenomenon of gravitational instability elucidated by Jeans continues to attract much attention and to reveal an unexpected richness of structure. A unified and simplified treatment of recent development in this area is presented, and extended to give new, completely general, exact second-order acoustic propagation equations, governing the evolution of the comoving fractional spatial gradient of the density. Newtonian theory and general relativity are considered, and the unity of the two points of view is emphasized. The Einstein static universe and expanding homogeneous isotropic cosmological models are re-examined.

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