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Linear cosmological perturbation theory

Scalar cosmological perturbation

Synchronous gauge in cosmology

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

Cosmological Euler equation in synchronous gauge

Linear perfect-fluid stress tensor in synchronous gauge

Past exam of the mathematics course of the University of Cambridge / 2006 / iii / Paper 62 / 4 / b / Solution

Past exam of the mathematics course of the University of Cambridge / 2006 / iii / Paper 62 / 4 / d / Solution

Past exam of the mathematics course of the University of Cambridge / 2008 / iii / Paper 64 / 1 / ii / Solution

Past exam of the mathematics course of the University of Cambridge / 2008 / iii / Paper 64 / 1 / i / Solution

Past exam of the mathematics course of the University of Cambridge / 2026 / iii / Paper 310 / 3 / e / Solution

Cosmological Euler equation in synchronous gauge

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Cosmological Euler equation in synchronous gauge

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