1105.3060 (M. V. Takook et al.)

Conformal linear gravity in de Sitter space II    [PDF]

M. V. Takook, H. Pejhan, M. Reza Tanhayi

Based on group theoretical content, 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 \emph{et al}., Phys. Rev. D 27, (1983) 2249]. We obtained such field equation in de Sitter space [Takook \emph{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 Weyl-invariant two-point function is calculated. This two-point function is de Sitter invariant and free of any pathological large-distance behavior.

View original: http://arxiv.org/abs/1105.3060