 Cosmological Euler equation in synchronous gauge

ID: cosmological-euler-equation-in-synchronous-gauge

Codex  0 Created 2026-09-24 Updated 2026-09-24

For scalar perturbations of a generic fluid in cosmic time, momentum conservation in synchronous gauge in cosmology gives

δ P + \nabla^{2} π^{S} + \partial_{t} [(\overset{ρ}{ˉ} + \overset{ˉ}{P}) δ u] + 3 H (\overset{ρ}{ˉ} + \overset{ˉ}{P}) δ u = 0.

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