Hadamard states for linearized gravity on spacetimes with compact Cauchy surfaces

2023/11/18 by Christian Gérard, Gérard, Christian · 1 citation
Mathematics · Physics and Astronomy · #58J32 #58J45 #58J47 #81T20 #83C05 #Advanced Mathematical Physics Problems #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Mathematical Physics (math-ph)

paper · pdf · doi:10.48550/arxiv.2311.11043

openalex publication_date 2023/11/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Cited by

• Measurements in stochastic gravity and thermal variance

Related

• Hadamard states for the linearized Yang-Mills equation on curved spacetime
• Adiabatic Vacua and Hadamard States for Scalar Quantum Fields on Curved Spacetime
• Explicit construction of Hadamard states for Quantum Field Theory in curved spacetimes
• Hadamard states from null infinity
• Analytic Hadamard states, Calderón projectors and Wick rotation near analytic Cauchy surfaces