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Double Null Data and the Characteristic Problem in General Relativity

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arxiv 2205.15267 v2 pith:VEUFD3MQ submitted 2022-05-30 gr-qc math.APmath.DG

Double Null Data and the Characteristic Problem in General Relativity

Marc Mars , Gabriel S\'anchez-P\'erez This is my paper
classification gr-qc math.APmath.DG
keywords dataproblemcharacteristicgeneralabstractcauchyformalismnull
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General hypersurfaces of any causal character can be studied abstractly using the hypersurface data formalism. In the null case, we write down all tangential components of the ambient Ricci tensor in terms of the abstract data. Using this formalism, we formulate and solve in a completely abstract way the characteristic Cauchy problem of the Einstein vacuum field equations. The initial data is detached from any spacetime notion, and it is fully diffeomorphism and gauge covariant. The results of this paper put the characteristic problem on a similar footing as the standard Cauchy problem in General Relativity.

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Cited by 3 Pith papers

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

  1. Gravitational null rays: Covariant Quantization and the Dressing Time

    hep-th 2026-04 unverdicted novelty 8.0

    Gravitational null rays are quantized in a diffeomorphism-covariant way using the gravitational dressing time as quantum reference frame, producing a Virasoro crossed-product algebra of gauge-invariant observables.

  2. Quantization of Gravity on Null Hypersurfaces

    hep-th 2026-07 conditional novelty 7.0

    An operator-algebraic quantization of the characteristic initial-value problem yields a candidate on-shell algebra for a gravitational subregion bounded by two null hypersurfaces.

  3. Localization and anomalous reference frames in gravity

    hep-th 2025-10 unverdicted novelty 6.0

    Constructs a phase space for gravitational degrees of freedom on null ray segments with commuting localized observables via edge modes and dressing time, then introduces an effective classical theory with Virasoro def...