Fluctuations in the Cosmic Microwave Background I: Form Factors and their Calculation in Synchronous Gauge

Details Fluctuations in the Cosmic Microwave Background I: Form Factors and their Calculation in Synchronous Gauge Fluctuations in the Cosmic Microwave Background I: Form Factors and their Calculation in Synchronous Gauge

2001-03-19

arxiv.org/abs/astro-ph/0103279v2

Phys.Rev. D64 (2001) 123511

Astronomy and Astrophysics

Astrophysics

35 pages, no figures. Improved treatment of damping, including both Landau and Silk damping; inclusion of late-time effects; s

Scientific paper

10.1103/PhysRevD.64.123511

It is shown that the fluctuation in the temperature of the cosmic microwave background in any direction may be evaluated as an integral involving scalar and dipole form factors, which incorporate all relevant information about acoustic oscillations before the time of last scattering. A companion paper gives asymptotic expressions for the multipole coefficient $C_\ell$ in terms of these form factors. Explicit expressions are given here for the form factors in a simplified hydrodynamic model for the evolution of perturbations.

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