High-frequency solutions to the Einstein equations

Cécile Huneau; Jonathan Luk

doi:10.1088/1361-6382/ad5487

High-frequency solutions to the Einstein equations

Cécile Huneau
, Jonathan Luk

Stanford University

Research output: Contribution to journal › Review article › peer-review

Abstract

We review recent mathematical results concerning the high-frequency solutions to the Einstein vacuum equations and the limits of these solutions. In particular, we focus on two conjectures of Burnett, which attempt to give an exact characterization of high-frequency limits of vacuum spacetimes as solutions to the Einstein-massless Vlasov system. Some open problems and future directions are discussed.

Original language	English
Article number	143002
Journal	Classical and Quantum Gravity
Volume	41
Issue number	14
DOIs	https://doi.org/10.1088/1361-6382/ad5487
Publication status	Published - 18 Jul 2024
Externally published	Yes

Keywords

Burnett conjecture
backreaction
high-frequency spacetimes

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10.1088/1361-6382/ad5487

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title = "High-frequency solutions to the Einstein equations",

abstract = "We review recent mathematical results concerning the high-frequency solutions to the Einstein vacuum equations and the limits of these solutions. In particular, we focus on two conjectures of Burnett, which attempt to give an exact characterization of high-frequency limits of vacuum spacetimes as solutions to the Einstein-massless Vlasov system. Some open problems and future directions are discussed.",

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AU - Huneau, Cécile

AU - Luk, Jonathan

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N2 - We review recent mathematical results concerning the high-frequency solutions to the Einstein vacuum equations and the limits of these solutions. In particular, we focus on two conjectures of Burnett, which attempt to give an exact characterization of high-frequency limits of vacuum spacetimes as solutions to the Einstein-massless Vlasov system. Some open problems and future directions are discussed.

AB - We review recent mathematical results concerning the high-frequency solutions to the Einstein vacuum equations and the limits of these solutions. In particular, we focus on two conjectures of Burnett, which attempt to give an exact characterization of high-frequency limits of vacuum spacetimes as solutions to the Einstein-massless Vlasov system. Some open problems and future directions are discussed.

KW - Burnett conjecture

KW - backreaction

KW - high-frequency spacetimes

UR - https://www.scopus.com/pages/publications/85196838805

U2 - 10.1088/1361-6382/ad5487

DO - 10.1088/1361-6382/ad5487

M3 - Review article

AN - SCOPUS:85196838805

SN - 0264-9381

VL - 41

JO - Classical and Quantum Gravity

JF - Classical and Quantum Gravity

IS - 14

M1 - 143002

ER -

High-frequency solutions to the Einstein equations

Abstract

Keywords

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