The Weyl tensor two-point function in de Sitter spacetime

TL;DR

This paper derives the Weyl-Weyl two-point function in de Sitter spacetime, showing it decays as r^{-4} with distance, based on a covariant graviton two-point function with gauge parameter considerations.

Contribution

It provides the explicit form of the Weyl-Weyl two-point function in de Sitter space, extending previous covariant graviton two-point function calculations.

Findings

Weyl-Weyl two-point function decays as r^{-4} with distance

Derived from a covariant graviton two-point function with gauge parameter

Enhances understanding of quantum fluctuations in de Sitter spacetime

Abstract

We present an expression for the Weyl-Weyl two-point function in de Sitter spacetime, based on a recently calculated covariant graviton two-point function with one gauge parameter. We find that the Weyl-Weyl two-point function falls off with distance like r^{-4}, where r is spacelike coordinate separation between the two points.