Cosmological source modeling

With Leonid Grishchuk, I developed a theory in which relic gravitational waves and primordial density perturbations are generated by strong variable gravitational field of the early Universe. The generating mechanism is the superadiabatic (parametric) amplification of the zero-point quantum oscillations. The generated fields have specific statistical properties of squeezed vacuum quantum states. Macroscopically, squeezing manifests itself in a non-stationary character of variances and correlation functions of the fields, the periodic structures of the metric power spectra, and, as a consequence, in oscillatory behavior of the higher order multipoles $C_l$ of the cosmic microwave background anisotropy. We derive an analytical formula for the positions of peaks and dips in the angular power spectrum $l(l+1)C_l$ as a function of the multipole index $l$. We found that the derived positions agree well with the actually observed features, which suggests that the observed structure is better described by our analytical formula based on the (squeezed) metric perturbations associated with the primordial density perturbations, rather than by the acoustic peaks reflecting the existence of plasma sound waves at the last scattering surface. Whereas this interpretation of the origin of the multipole structure of the CMB anisotropy spectrum may not be widely accepted, we do predict other features in the angular power spectrum that should be detectable by the advanced observational missions, such as PLANCK.