Constraints on the thermal history of the universe from the cosmic microwave background spectrum

Computer Science – Numerical Analysis

Scientific paper

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Background Radiation, Microwave Spectra, Relic Radiation, Universe, Analytic Functions, Compton Effect, Cosmology, Energy Dissipation, Numerical Analysis

Scientific paper

An extensive numerical analysis is made of distortions of the microwave background spectrum that can arise over a broad interval of cosmic times. The range of validity of existing analytic approximation formulas holding for large and very small values of the Comptonization parameter is assessed, and the shape of distortions that can arise for intermediate values of the parameter is determined. From a comparison with existing spectral data, the upper limits of the amount of energy that could have been dissipated at each cosmic time are derived. The effectiveness of future measurements in tightening such constraints is discussed.

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