2011/05/31 by M. V. Takook, H. Pejhan, M. Reza Tanhayi · 1 citation
Physics and Astronomy · #Anti-de Sitter space #Black Holes and Theoretical Physics #Conformal field theory #Conformal gravity #Conformal symmetry #Cosmology and Gravitation Theories #De Sitter space #De Sitter universe #Noncommutative and Quantum Gravity Theories #Scalar field #Scalar–tensor theory #de Sitter invariant special relativity #gr-qc
paper · pdf · doi:10.1140/epjc/s10052-012-2052-8
published as Eur. Phys. J. C (2012) 72:2052 · 16 pages, no figure, published version
openalex publication_date 2012/07/01 · arxiv created 2012/07/07 · arxiv updated 2012/07/10 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
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.