The physical graviton two-point function in de Sitter spacetime with S^3 spatial sections

TL;DR

This paper calculates the graviton two-point function in de Sitter spacetime with S^3 spatial sections, showing the absence of large-distance growth and consistency with Minkowski spacetime as the cosmological constant approaches zero.

Contribution

It provides the first explicit computation of the physical graviton two-point function in de Sitter space with S^3 spatial sections, highlighting differences from flat spatial sections.

Findings

Large-distance growth is absent in S^3 de Sitter spacetime.

The two-point function matches Minkowski spacetime in the zero cosmological constant limit.

The result clarifies the behavior of gravitons in curved de Sitter backgrounds.

Abstract

We compute the physical graviton two-point function in de Sitter spacetime with three-sphere spatial sections. We demonstrate that the large-distance growth present in the corresponding two-point function in spatially flat de Sitter spacetime is absent. We verify that our two-point function agrees with that in Minkowski spacetime in the zero cosmological constant limit.