Hadamard states for linearized gravity on spacetimes with compact Cauchy surfaces

TL;DR

This paper proves the existence of Hadamard states for the quantization of linearized Einstein equations in harmonic gauge on Einstein spacetimes with compact Cauchy surfaces, advancing quantum gravity research.

Contribution

It establishes the existence of Hadamard states for linearized gravity on a broad class of spacetimes, filling a gap in quantum field theory on curved backgrounds.

Findings

Existence of Hadamard states proven for linearized Einstein equations.

Validates the use of harmonic gauge in this context.

Applicable to Einstein spacetimes with compact Cauchy surfaces.

Abstract

We consider the quantization of linearized Einstein equations. We prove the existence of Hadamard states in the harmonic gauge on any Einstein spacetime with compact Cauchy surfaces.