Conformally related massless fields in dS, AdS and Minkowski spaces
General Relativity and Quantum Cosmology
2009-11-11 v1
Abstract
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.
Keywords
Cite
@article{arxiv.gr-qc/0603031,
title = {Conformally related massless fields in dS, AdS and Minkowski spaces},
author = {E. Huguet and J. Queva and J. Renaud},
journal= {arXiv preprint arXiv:gr-qc/0603031},
year = {2009}
}
Comments
7 pages, 1 figure