2015/01/25 by Marjan Elmizadeh, M. Elmizadeh, Elmizadeh, M.
Earth and Planetary Sciences · Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Geophysics and Gravity Measurements #gr-qc
paper · pdf · doi:10.48550/arxiv.1501.06184
arXiv admin note: text overlap with arXiv:1105.3060 by other authors
openalex publication_date 2015/01/25 · arxiv created 2015/02/05 · arxiv updated 2015/02/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Respecting the group theoretical approach, it is discussed that the linear conformal gravity can be written in terms of a mixed symmetry tensor field of rank-3 \citebinegar. Following this path, related field equation was obtained in de Sitter space \citefatemi. It was proved that this kind of tensor field in de Sitter background associates with two unitary irreducible representations (UIR) of the de Sitter group. The important fact is that one of the them has a flat limit, namely, in zero curvature coincides to the UIR of Poincaré group which has been studied in Ref \citerahbar. However, the second one which is named as auxiliary field, becomes significant in the study of conformal gravity in de Sitter background. In this paper we will study the second representation in details by finding its solutions and also the conformally invariant two-point function.