Pith. sign in

REVIEW 1 cited by

The Cauchy problem on a characteristic cone for the Einstein equations in arbitrary dimensions

Not yet reviewed by Pith; the record is open.

Re-run · record.json Download PDF Read on arXiv ↗

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv 1006.4467 v1 pith:EXAP4BXK submitted 2010-06-23 gr-qc

The Cauchy problem on a characteristic cone for the Einstein equations in arbitrary dimensions

Yvonne Choquet-Bruhat , Piotr T. Chru\'sciel , Jos\'e M. Mart\'in-Garc\'ia This is my paper
classification gr-qc
keywords einsteinequationscauchyproblemarbitrarycharacteristicconeconstraints
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
0 comments
read the original abstract

We derive explicit formulae for a set of constraints for the Einstein equations on a null hypersurface, in arbitrary dimensions. We solve these constraints and show that they provide necessary and sufficient conditions so that a spacetime solution of the Cauchy problem on a characteristic cone for the hyperbolic system of the reduced Einstein equations in wave-map gauge also satisfies the full Einstein equations. We prove a geometric uniqueness theorem for this Cauchy problem in the vacuum case.

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.

Forward citations

Cited by 1 Pith paper

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

  1. 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.