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Hadamard states for linearized gravity on spacetimes with compact Cauchy surfaces

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arxiv 2311.11043 v1 pith:H4LOUGCE submitted 2023-11-18 math-ph gr-qcmath.MP

classification math-phgr-qcmath.MP
keywords cauchycompacteinsteinhadamardlinearizedstatessurfacesconsider
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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.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. The Teukolsky scalar as a gateway for quantizing gravity on rotating black holes

    gr-qc 2025-08 reject novelty 7.0 of 10

    A Hadamard Unruh state is claimed for quantized Teukolsky scalars on subextreme Kerr, using an enlarged hermitian Green-hyperbolic operator.

  2. Measurements in stochastic gravity and thermal variance

    gr-qc 2025-06 conditional novelty 6.0 of 10

    Thermal photon fluctuations in a curved spacetime generate metric variance that, in the Fewster-Verch measurement scheme, equals the stochastic gravity noise kernel exactly.

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