https://doi.org/10.1140/epjc/s10052-012-2052-8
Regular Article - Theoretical Physics
Conformal linear gravity in de Sitter space II
1
Department of Physics, Science and Research Branch, Islamic Azad University, Tehran, Iran
2
Department of Physics, Central Tehran Branch, Islamic Azad University, Tehran, Iran
* e-mail: m_tanhayi@iauctb.ac.ir
Received:
21
April
2012
Revised:
27
May
2012
Published online:
3
July
2012
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. in Phys. Rev. D 27:2249, 1983). We obtained such a field equation in de Sitter space (Takook et al. in J. Math. Phys. 51:032503, 2010). 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.
© Springer-Verlag / Società Italiana di Fisica, 2012
