On the Contribution of Primordial Gravitational Waves to the Cosmic Microwave Background Radiation Temperature Anisotropy.

Details On the Contribution of Primordial Gravitational Waves to the Cosmic Microwave Background Radiation Temperature Anisotropy. On the Contribution of Primordial Gravitational Waves to the Cosmic Microwave Background Radiation Temperature Anisotropy.

Jan 1995

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1995phdt........19k&link_type=abstract

Thesis (PH.D.)--THE UNIVERSITY OF WISCONSIN - MILWAUKEE, 1995.Source: Dissertation Abstracts International, Volume: 56-10, Sect

Mathematics

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Scientific paper

The effect of primordial gravitational waves produced in inflationary cosmologies on the temperature anisotropy of the cosmic microwave background radiation is studied. The Sachs-Wolfe formula for temperature anisotropy produced by gravitational wave or tensor perturbations is derived, and quantized gravitational wave perturbations for the linearized theory of quantum gravity are discussed. The two-point angular correlation function for temperature perturbations on the celestial sphere in a perturbed, spatially -flat Friedman-Robertson-Walker cosmology is derived using quantum field theory in curved space techniques. Two perturbed Friedman-Robertson-Walker cosmologies are studied. It is shown that standard formulas in the literature for the two-point angular correlation function are long wavelength approximations to an exact formula. It is shown that the temperature anisotropy multipole moments < a_sp{l}{2}> are larger for a Friedman-Robertson-Walker cosmology that contains both pressureless dust and radiation and is not completely dust dominated at the last scattering surface. The instantaneous-recombination assumption is discussed, and it is shown that one may model a more realistic recombination history in a straightforward way. It is shown that the temperature anisotropy multipole moments < a_sp{l}{2}> for large l are smaller for cosmological models with a more realistic recombination history.

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