English

Linear Weyl Gravity in de Sitter Universe

General Relativity and Quantum Cosmology 2010-12-23 v2

Abstract

In this paper we obtain the linear Weyl gravity in de Sitter background. Its linear form in five-dimensional ambient space notation has also been obtained. From the group theoretical point of view, we show that this conformal invariant fourth order theory in its linear form does not transform as an unitary irreducible representation of the de Sitter group.

Keywords

Cite

@article{arxiv.0903.2670,
  title  = {Linear Weyl Gravity in de Sitter Universe},
  author = {M. V. Takook and M. R. Tanhayi},
  journal= {arXiv preprint arXiv:0903.2670},
  year   = {2010}
}

Comments

13 pages, some details added, typos corrected, reference added

R2 v1 2026-06-21T12:40:51.455Z