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  CBR anisotropy from primordial gravitational waves in inflationary cosmologies

Allen, B., & Koranda, S. (1994). CBR anisotropy from primordial gravitational waves in inflationary cosmologies. Physical Review D, 50(6), 3713-3737. doi:10.1103/PhysRevD.50.3713.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-5BE9-A Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-5BEA-8
Genre: Journal Article

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prd-94-50-3713.pdf (Publisher version), 4MB
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 Creators:
Allen, Bruce1, Author              
Koranda, Scott1, Author              
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1Observational Relativity and Cosmology, AEI-Hannover, MPI for Gravitational Physics, Max Planck Society, escidoc:24011              

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 Abstract: 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(γ). A new (more concise and general) derivation of C(γ) is given, and evaluated for inflationary-universe cosmologies. This yields standard results for angles γ 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(γ) 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(γ).

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 Dates: 1994-09-15
 Publication Status: Published in print
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Title: Physical Review D
Source Genre: Journal
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Pages: - Volume / Issue: 50 (6) Sequence Number: - Start / End Page: 3713 - 3737 Identifier: ISSN: 0556-2821