Pith. sign in

REVIEW 3 cited by

Burnett's conjecture in generalized wave coordinates

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 2403.03470 v1 pith:GNG4Y3P5 submitted 2024-03-06 gr-qc math.AP

Cécile Huneau , Jonathan Luk This is my paper · ORCID
classification gr-qcmath.AP
keywords generalizedwaveburnettconditionconjecturecoordinatemetricmetrics
verification ladder T0 review T1 audit T2 compute T3 formal
0 comments
abstract

We prove Burnett's conjecture in general relativity when the metrics satisfy a generalized wave coordinate condition, i.e., suppose $\{g_n\}_{n=1}^\infty$ is a sequence of Lorentzian metrics (in arbitrary dimensions $d \geq 3$) satisfying a generalized wave coordinate condition and such that $g_n\to g$ in a suitably weak and "high-frequency" manner, then the limit metric $g$ satisfies the Einstein--massless Vlasov system. Moreover, we show that the Vlasov field for the limiting metric can be taken to be a suitable microlocal defect measure corresponding to the convergence. The proof uses a compensation phenomenon based on the linear and nonlinear structure of the Einstein equations.

Discussion (0). Continue with ORCID to comment.

Forward citations

Cited by 3 Pith papers

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

  1. High-frequency backreaction for the Einstein equations under $\mathbb U(1)$ symmetry: from Einstein-dust to Einstein-Vlasov

    gr-qc 2025-06 conditional novelty 8.0 of 10

    Small U(1)-symmetric Einstein-massless Vlasov solutions are shown to be realizable as high-frequency limits of vacuum Einstein spacetimes, extending prior finite-null-dust constructions to general Vlasov fields.

  2. Backreaction of Halilsoy and Chandrasekhar waves

    gr-qc 2025-09 conditional novelty 7.0 of 10

    The high-frequency backreaction of Halilsoy and Chandrasekhar standing waves is identical, giving the Morgan null-dust effective spacetime regardless of polarization.

  3. Near-Boundary Asymptotics and Unique Continuation for the AdS--Einstein--Maxwell System

    gr-qc 2025-01 conditional novelty 7.0 of 10

    Given identical boundary data near infinity, two solutions of the AdS-Einstein-Maxwell equations must agree near that boundary, provided the boundary region satisfies a null-convexity condition.

Pith tools