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Static-universe Jeans modes
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Physics
Branch of physics
Cosmology
Linear cosmological density perturbation
Jeans wavenumber
Jeans instability
Created
2026-09-29
Updated
2026-10-06
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In
a
static homogeneous
universe
,
a
density
mode obeys
δ
¨
k
+
c
s
2
(
k
2
−
k
J
2
)
δ
k
=
0.
(1)
Modes with
k
>
k
J
oscillate
as
sound
waves
, while modes with
k
<
k
J
have one exponentially growing and one exponentially decaying solution.
Ancestors
(7)
Jeans instability
Jeans wavenumber
Linear cosmological density perturbation
Cosmology
Branch of physics
Physics
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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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