Astronomy and Astrophysics – Astrophysics
Scientific paper
1994-04-27
Phys.Rev. D50 (1994) 3713
Astronomy and Astrophysics
Astrophysics
41 pages, RevTeX, 5 postscript figures available via anonymous ftp to alpha2.csd.uwm.edu in the directory pub/skoranda/flat --
Scientific paper
10.1103/PhysRevD.50.3713
We examine stochastic temperature fluctuations of the cosmic background radiation (CBR) arising via the Sachs-Wolfe effect from gravitational wave perturbations produced in the early universe. These temperature fluctuations are described by an angular correlation function $C(\gamma)$. A new (more concise and general) derivation of $C(\gamma)$ is given, and evaluated for inflationary-universe cosmologies. This yields standard results for angles $\gamma$ greater than a few degrees, but new results for smaller angles, because we do not make standard long-wavelength approximations to the gravitational wave mode functions. The function $C(\gamma)$ may be expanded in a series of Legendre polynomials; we use numerical methods to compare the coefficients of the resulting expansion in our exact calculation with standard (approximate) results. We also report some progress towards finding a closed form expression for $C(\gamma)$.
Allen Bruce
Koranda Scott
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