Gravitational instability - The second approximation in the linear long-wave theory

Astronomy and Astrophysics – Astronomy

Scientific paper

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Gravitational Collapse, Jeans Theory, Perturbation Theory, Green'S Functions, Pressure Gradients, Steady State

Scientific paper

An analytic expression is given to describe the growing mode in the
linear gravitational-instability theory. This expression takes into
account the pressure gradient arising in a medium with density
perturbations: the gradient introduces a small correction for
wavelengths in excess of the critical Jeans value.

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