Covariant two-point function for linear gravity in de Sitter space

2000/01/19 by M. V. Takook, Takook, M. V.
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.gr-qc/0001052

4 pages, Proceeding of the Wigsym6, 16-22 August 1999, Istanbul, Turkey

arxiv created 2000/01/19 · openalex publication_date 2000/01/19 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The Wightman two-point function for the gravitational field in the linear approximation (the rank-2 ``massless'' tensor field) on de Sitter space has a pathological behaviour for large separated points (infrared divergence). This behaviour can be eliminated in the two-point function for the traceless part of this field if one chooses the Gupta-Bleuler vacuum. But it is not possible to do the same for the pure trace part (conformal sector). We briefly discuss the consequences of this pure trace behaviour for inflationary models.

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