Conformal linear gravity in de Sitter space

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

2009-03-30

arxiv.org/abs/0903.5249v2

J.Math.Phys.51:032503,2010

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

10 pages

Scientific paper

It has been shown that the theory of linear conformal quantum gravity must include a tensor field of rank-3 and mixed symmetry [1]. In this paper, we obtain the corresponding field equation in de Sitter space. Then, in order to relate this field with the symmetric tensor field of rank-2, $\K_{\alpha\beta}$ related to graviton, we will define homomorphisms between them. Our main result is that if one insists $\K_{\alpha\beta}$ to be a unitary irreducible representation of de Sitter and conformal groups it must satisfy a filed equation of order 6, which is obtained.

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