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 Friedman-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, ${\Omega }_0$, is greater than 2. (Submitted to Physical Review D).

18 pages of RevTex + 3 uuencoded postscript figures

References in corpus (1)

• CBR anisotropy from primordial gravitational waves in inflationary cosmologies

Cited by in corpus (12)

• Efficient Computation of CMB anisotropies in closed FRW models
• Parametric amplification of metric fluctuations through a bouncing phase
• Variance of the Hellings-Downs Correlation
• Microwave background anisotropies from gravitational waves: the 1+3 covariant approach
• The van der Waals energy of atomic systems near absorbing and dispersing bodies
• Adiabatic regularization of the graviton stress-energy tensor in de Sitter space-time
• Primordial Gravitational Waves From Open Inflation
• Imprint of spatial curvature on inflation power spectrum
• Graviton Production in Elliptical and Hyperbolic Universes
• Signatures of Spatial Curvature on Growth of Structures
• Gravitational waves in a stringlike fluid cosmology
• Exploring trans-Planckian physics and the curvature effect by primordial power spectrum with WMAP five-year data