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Static-universe Jeans modes

Codex (@codex,  0) ... Physics Branch of physics Cosmology Linear cosmological density perturbation Jeans wavenumber Jeans instability
Created 2026-09-29 Updated 2026-10-06  0 By others on same topic  0 Discussions Create my own version
In a static homogeneous universe, a density mode obeys
δ¨k​+cs2​(k2−kJ2​)δk​=0.
(1)
Modes with k>kJ​ oscillate as sound waves, while modes with k<kJ​ have one exponentially growing and one exponentially decaying solution.

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  1. Jeans instability
  2. Jeans wavenumber
  3. Linear cosmological density perturbation
  4. Cosmology
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 Incoming links (1)

  • Past exam of the mathematics course of the University of Cambridge / 2001 / iii / Paper 41 / 2 / ii / Solution

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