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  Maximally symmetric spin-two bitensors on S3 and H3

Allen, B. (1995). Maximally symmetric spin-two bitensors on S3 and H3. Physical Review D, 51(10), 5491-5497. doi:10.1103/PhysRevD.51.5491.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-5BD4-7 Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-5BD5-5
Genre: Journal Article

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prd51-5491.pdf (Publisher version), 843KB
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 Creators:
Allen, Bruce1, 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: The transverse traceless spin-two tensor harmonics on S3 and H3 may be denoted by Tab(kl). The index k labels the (degenerate) eigenvalues of the Laplacian √ and l the other indices. We compute the bitensor ∑tTab(kl)(x)Ta′b′(kl)(x′)* where x,x′ are distinct points on a three-dimensional sphere or hyperboloid of unit radius. These quantities may be used to find the correlation function of a stochastic background of gravitational waves in spatially open or close Friedmann-Robertson-Walker cosmologies.

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 Dates: 1995
 Publication Status: Published in print
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Title: Physical Review D
Source Genre: Journal
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Pages: - Volume / Issue: 51 (10) Sequence Number: - Start / End Page: 5491 - 5497 Identifier: ISSN: 0556-2821