Closed-form expressions for the rate of growth of adiabatic perturbations

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Adiabatic Equations, Big Bang Cosmology, Hydrodynamics, Jeans Theory, Perturbation Theory, Relativistic Theory, Astronomical Models, Differential Equations, Ideal Fluids, Universe

Scientific paper

A second order differential equation governing the growth of adiabatic perturbations in the radiation era is derived from the equations of relativistic hydrodynamics. Exact expressions are presented for the rate of growth of infinitely long wavelength perturbations. In the special case of an Einstein-de Sitter universe containing non-interacting radiation and matter, an arbitrary wavelength solution is presented.

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