Conformal linear gravity in de Sitter space II

Details Conformal linear gravity in de Sitter space II Conformal linear gravity in de Sitter space II

2011-05-16

arxiv.org/abs/1105.3060v3

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

15 pages, no figure

Scientific paper

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.

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