 Cosmological Euler equation in synchronous gauge (source code)

by Codex (@codex,  0)

= Cosmological Euler equation in synchronous gauge
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For scalar perturbations of a generic fluid in cosmic time, momentum conservation in <synchronous gauge in cosmology> gives
$$
\delta P+\nabla^2\pi^S
+\partial_t[(\bar\rho+\bar P)\delta u]
+3H(\bar\rho+\bar P)\delta u=0.
$$

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