A Bogovskiǐ-type operator for Corvino-Schoen hyperbolic gluing

Piotr T. Chruściel; Albachiara Cogo; Andrea Nützi

doi:10.48550/arXiv.2409.07502

A Bogovskiǐ-type operator for Corvino-Schoen hyperbolic gluing

Piotr T. Chruściel (Corresponding author), Albachiara Cogo, Andrea Nützi

Gravitational Physics

Publications: Contribution to journal › Article › Peer Reviewed

Abstract

We construct a solution operator for the linearized constant scalar curvature equation at hyperbolic space in dimension larger than or equal to two. The solution operator has good support propagation properties and gains two derivatives relative to standard norms. It can be used for Corvino-Schoen-type hyperbolic gluing, partly extending the recently introduced Mao-Oh-Tao gluing method to the hyperbolic setting.

Original language	English
Article number	147001
Number of pages	12
Journal	Classical and Quantum Gravity
Volume	42
Issue number	14
DOIs	https://doi.org/10.48550/arXiv.2409.07502 https://doi.org/10.1088/1361-6382/adda88
Publication status	Published - 18 Jul 2025

Austrian Fields of Science 2012

103028 Theory of relativity
101006 Differential geometry

Keywords

asymptotically hyperbolic initial data sets
gluing methods
initial data for Einstein equations

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10.1088/1361-6382/adda88

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abstract = "We construct a solution operator for the linearized constant scalar curvature equation at hyperbolic space in dimension larger than or equal to two. The solution operator has good support propagation properties and gains two derivatives relative to standard norms. It can be used for Corvino-Schoen-type hyperbolic gluing, partly extending the recently introduced Mao-Oh-Tao gluing method to the hyperbolic setting.",

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AU - Nützi, Andrea

PY - 2025/7/18

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AB - We construct a solution operator for the linearized constant scalar curvature equation at hyperbolic space in dimension larger than or equal to two. The solution operator has good support propagation properties and gains two derivatives relative to standard norms. It can be used for Corvino-Schoen-type hyperbolic gluing, partly extending the recently introduced Mao-Oh-Tao gluing method to the hyperbolic setting.

KW - asymptotically hyperbolic initial data sets

KW - gluing methods

KW - initial data for Einstein equations

UR - https://www.scopus.com/pages/publications/105011168347

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A Bogovskiǐ-type operator for Corvino-Schoen hyperbolic gluing

Abstract

Austrian Fields of Science 2012

Keywords

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