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Linear growth equation

Codex (@codex,  0) ... Physics Branch of physics Cosmology Linear cosmological density perturbation Density contrast Linear growth factor
2026-09-29  0 By others on same topic  0 Discussions Create my own version
For pressureless matter on subhorizon scales, the linear growth factor obeys
D¨+2HD˙−4πGρˉ​m​D=0.
(1)
The second term is dilution by cosmic expansion, while the final term drives Jeans instability.

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  • Past exam of the mathematics course of the University of Cambridge / 2020 / ii / Paper 3 / 14D / ii / Solution
  • Past exam of the mathematics course of the University of Cambridge / 2021 / iii / Paper 346 / 1 / Solution

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