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On boundary conditions for linearised Einstein's equations

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arxiv 2407.07576 v1 pith:TWSQY6KG submitted 2024-07-10 math.AP gr-qcmath-phmath.MPmath.SP

classification math.APgr-qcmath-phmath.MPmath.SP
keywords boundaryconditionslinearisedeinsteinequationspropertiesandersonclass
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We investigate the properties of a fairly large class of boundary conditions for the linearised Einstein equations in the Riemannian setting, ones which generalise the linearised counterpart of boundary conditions proposed by Anderson. Through the prism of the quest to quantise gravitational waves in curved spacetimes, we study their properties from the point of view of ellipticity, gauge invariance, and the existence of a spectral gap.

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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. Gravitational Observatories in AdS$_4$

    hep-th 2024-12 conditional novelty 6.0 of 10

    With conformal boundary conditions in AdS4, linearized gravity has a new boundary Weyl mode; for a spherical boundary the mode has complex frequencies (exponential growth) at large angular momentum, while for a planar...

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