Vector two-point functions in maximally symmetric spaces

Allen, Bruce; Jacobson, Theodore

doi:10.1007/BF01211169

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Vector two-point functions in maximally symmetric spaces

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Allen, Bruce
Observational Relativity and Cosmology, AEI-Hannover, MPI for Gravitational Physics, Max Planck Society;

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Citation

Allen, B., & Jacobson, T. (1986). Vector two-point functions in maximally symmetric spaces. Communications in Mathematical Physics, 103(4), 669-692. doi:10.1007/BF01211169.

Cite as: https://hdl.handle.net/11858/00-001M-0000-0013-5DC2-0

Abstract

We obtain massive and massless vector two-point functions in maximally symmetric spaces (and vacua) of any number of dimensions. These include de Sitter space and anti-de Sitter space, and their Euclidean analogsS n andH n. Our method is based on a simple way of constructing every possible maximally symmetric bitensorT a...bcprime...dprime(x, xprime) which carries tangent-space indicesa...b atx andcprime...dprime atxprime.