Conformally related massless fields in dS, AdS and Minkowski spaces

Details Conformally related massless fields in dS, AdS and Minkowski spaces Conformally related massless fields in dS, AdS and Minkowski spaces

2006-03-09

arxiv.org/abs/gr-qc/0603031v1

Phys.Rev. D73 (2006) 084025

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

7 pages, 1 figure

Scientific paper

10.1103/PhysRevD.73.084025

In this paper we write down the equation for a scalar conformally coupled field simultaneously for de Sitter (dS), anti-de Sitter (AdS) and Minkowski spacetime in d-dimensions. The curvature dependence appears in a very simple way through a conformal factor. As a consequence the process of curvature free limit, including wave functions limit and two-points functions, turns to be a straightforward issue. We determine a set of modes, that we call de Sitter plane waves, which become ordinary plane waves when the curvature vanishes.

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