**Cosmic Microwave Background Anisotropies up to Second Order**

by Nicola Bartolo, Sabino Matarrese, Antonio Riotto

**Publisher**: arXiv 2007**Number of pages**: 53

**Description**:

These lecture notes present the computation of the full system of Boltzmann equations describing the evolution of the photon, baryon and cold dark matter fluids up to second order in perturbation theory. These equations allow to follow the time evolution of the cosmic microwave background anisotropies at all angular scales from the early epoch, when the cosmological perturbations were generated, to the present, through the recombination era.

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