CBR temperature fluctuations induced by gravitational waves in a spatially closed inflationary universe

Abstract
Primordial gravitational waves are created during the de Sitter phase of an exponentially, expanding (inflationary) universe, due to quantum zero-point vacuum fluctuations. These waves produce fluctuations in the temperature of the cosmic background radiation (CBR). We calculate the multipole moments of the correlation function for these temperature fluctuations in a spatially closed Friedmann-Robertson-Walker (FRW) cosmological model. The results are compared to the corresponding multipoles in the spatially flat case. The differences are small unless the density parameter today, Ω0, is greater than 2.