Stability of Positive Mass Theorem for Static Quasi-Local Energy of Compact (Locally) Hyperbolic Graphical Manifolds

Fuente: arXiv
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Autores principales: Alaee, Aghil, Liu, Jiusen
Formato: Preprint
Publicado: 2025
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author Alaee, Aghil
Liu, Jiusen
author_facet Alaee, Aghil
Liu, Jiusen
contents In this paper, we consider compact graphical manifolds with boundary over (locally) hyperbolic static space. We prove the stability of the positive mass theorem with respect to the Federer--Fleming flat distance for the static quasi-local Brown-York energy of the outer boundary of compact (locally) hyperbolic graphical manifolds.
format Preprint
id arxiv_https___arxiv_org_abs_2503_16246
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Stability of Positive Mass Theorem for Static Quasi-Local Energy of Compact (Locally) Hyperbolic Graphical Manifolds
Alaee, Aghil
Liu, Jiusen
Differential Geometry
General Relativity and Quantum Cosmology
In this paper, we consider compact graphical manifolds with boundary over (locally) hyperbolic static space. We prove the stability of the positive mass theorem with respect to the Federer--Fleming flat distance for the static quasi-local Brown-York energy of the outer boundary of compact (locally) hyperbolic graphical manifolds.
title Stability of Positive Mass Theorem for Static Quasi-Local Energy of Compact (Locally) Hyperbolic Graphical Manifolds
topic Differential Geometry
General Relativity and Quantum Cosmology
url https://arxiv.org/abs/2503.16246