On the Contribution of Primordial Gravitational Waves to the Cosmic Microwave Background Radiation Temperature Anisotropy.
Abstract
The effect of primordial gravitational waves produced in inflationary cosmologies on the temperature anisotropy of the cosmic microwave background radiation is studied. The SachsWolfe 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 twopoint angular correlation function for temperature perturbations on the celestial sphere in a perturbed, spatially flat FriedmanRobertsonWalker cosmology is derived using quantum field theory in curved space techniques. Two perturbed FriedmanRobertsonWalker cosmologies are studied. It is shown that standard formulas in the literature for the twopoint 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 FriedmanRobertsonWalker cosmology that contains both pressureless dust and radiation and is not completely dust dominated at the last scattering surface. The instantaneousrecombination 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.
 Publication:

Ph.D. Thesis
 Pub Date:
 January 1995
 Bibcode:
 1995PhDT........19K
 Keywords:

 Physics: Astronomy and Astrophysics