Analytical Spectra of Rgw and its Induced CMB Anisotropies and Polarization

Astronomy and Astrophysics – Astrophysics

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Relic Gravitational Waves, Cosmic Microwave Radiation Background

Scientific paper

We present the results from a series of analytical studies on relic gravitational waves (RGW) and the anisotropies and polarization of cosmic background radiation (CMB). The analytical spectrum h(ν) of RGW shows the influences of the dark energy, neutrino free-streaming (NFS), quantum chro-modynamical (QCD) phase transition, e+e- annihilation, and inflation. Various possible detections of, and constraints on RGW are examined. The resulting h(ν) is then used to analytically calculate the spectra ClXX of CMB anisotropies and polarizations. The influences of the inflation index, NFS, and baryon on ClXX are demonstrated. We also extend analytical calculation of ClXX to the case with reionization. The explicit dependence of ClXX on the optical depth is obtained, whose degeneracies with the amplitude and index of RGW are shown, and the consequential implications in extracting RGW signal from observed ClXX are explored.

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