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PreprintarXiv licencearXiv

Hadamard states for linearized gravity on asymptotically flat spacetimes

Abstract

We consider the quantization of linearized Einstein equations on 4-dimensional asymptotically flat spacetimes. We prove the existence of fully gauge invariant Hadamard states in the harmonic gauge for any Einstein metric asymptotic to the Minkowski metric in a conic neighborhood of spatial infinity.

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BibTeX
@misc{gerard2026hadamard,
  title = {{Hadamard states for linearized gravity on asymptotically flat spacetimes}},
  author = {Christian Gérard and Mikhail Molodyk and Michał Wrochna},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.31214},
  eprint = {2610.31214},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.31214},
}
RIS
TY  - UNPB
TI  - Hadamard states for linearized gravity on asymptotically flat spacetimes
AU  - Christian Gérard
AU  - Mikhail Molodyk
AU  - Michał Wrochna
PY  - 2026
DA  - 2026/10/22
PB  - arXiv
DO  - 10.48550/arxiv.2610.31214
UR  - https://arxiv.org/abs/2610.31214
AB  - We consider the quantization of linearized Einstein equations on 4-dimensional asymptotically flat spacetimes. We prove the existence of fully gauge invariant Hadamard states in the harmonic gauge for any Einstein metric asymptotic to the Minkowski metric in a conic neighborhood of spatial infinity.
ER  -