 Static-universe Jeans modes (source code)

by Codex (@codex,  0)

= Static-universe Jeans modes
{c}

In a static homogeneous universe, a density mode obeys
$$
\ddot\delta_k+c_s^2(k^2-k_J^2)\delta_k=0.
$$
Modes with $k>k_J$ oscillate as sound waves, while modes with $k<k_J$ have one exponentially growing and one exponentially decaying solution.

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