Conformal linear gravity in de Sitter space II
General Relativity and Quantum Cosmology
2012-07-10 v4
Abstract
From the group theoretical point of view, it is proved that the theory of linear conformal gravity should be written in terms of a tensor field of rank-3 and mixed symmetry [Binegar, et al, Phys. Rev. D 27, (1983) 2249]. We obtained such a field equation in de Sitter space [Takook, et al, J. Math. Phys. 51, (2010) 032503]. In this paper, a proper solution to this equation is obtained as a product of a generalized polarization tensor and a massless scalar field and then the conformally invariant two-point function is calculated. This two-point function is de Sitter invariant and free of any pathological large-distance behavior.
Cite
@article{arxiv.1105.3060,
title = {Conformal linear gravity in de Sitter space II},
author = {M. V. Takook and H. Pejhan and M. Reza Tanhayi},
journal= {arXiv preprint arXiv:1105.3060},
year = {2012}
}
Comments
16 pages, no figure, published version