On the present observability of density-temperature fluctuations in the early universe

Astronomy and Astrophysics – Astronomy

Scientific paper

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Background Radiation, Cosmology, Microwave Emission, Relic Radiation, Space Density, Density Distribution, Fluctuation Theory, Radiative Recombination, Radio Sources (Astronomy), Temperature Distribution, Universe

Scientific paper

The as yet unobserved small-scale anistropy in the microwave background radiation is expected to provide a fossil record of inhomogeneity in the early universe present during the era of hydrogen recombination. Interpretation of this record depends on understanding the coupling between matter and radiation at that remote time. Fluctuations in the background radiation temperature are investigated for the case of minimal coupling: purely isothermal matter perturbations. It is argued that this approach, together with a power law description of primordial density perturbations inferred from the spectrum of mass associations observed at the current epoch, allows the computation of an unambiguous lower bound to observable rms temperature fluctuations. Furthermore, the description of the fluctuations in terms of an angular autocovariance function indicates substantial correlation extending well beyond angular scales associated with corresponding fluctuations in the matter distribution, thereby compounding the difficulty of observation. Even so, in the absence of significant reionization, these fluctuations should be detectable, although at a level considerably below current observational limits.

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