Hyperbolic energy and Maskit gluings

Piotr T. Chruściel; Erwann Delay; Raphaela Wutte

doi:10.48550/arXiv.2112.00095

Hyperbolic energy and Maskit gluings

Piotr T. Chruściel (Korresp. Autor*in)
, Erwann Delay (Korresp. Autor*in)
, Raphaela Wutte (Korresp. Autor*in)

Gravitationsphysik

Veröffentlichungen: Beitrag in Fachzeitschrift › Artikel › Peer Reviewed

Abstract

We derive a formula for the energy of asymptotically locally hyperbolic (ALH) manifolds obtained by a gluing at infinity of two ALH manifolds. As an application we show that there exist three-dimensional conformally compact ALH manifolds either without boundary or with toroidal black hole boundary, with connected conformal infinity of higher genus, with constant negative scalar curvature, and with negative mass.

Originalsprache	Englisch
Seiten (von - bis)	1333-1403
Seitenumfang	71
Fachzeitschrift	Advances in Theoretical and Mathematical Physics
Jahrgang	27
Ausgabenummer	5
DOIs	https://doi.org/10.48550/arXiv.2112.00095 https://doi.org/10.4310/ATMP.2023.v27.n5.a2
Publikationsstatus	Veröffentlicht - 15 Juli 2024

ÖFOS 2012

101006 Differentialgeometrie
103028 Relativitätstheorie
103012 Hochenergiephysik

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2 Abgeschlossen

Elliptische Probleme in der Allgemeinen Relativitätstheorie
Chrusciel, P. T. (Projektleiter*in)
1/07/17 → 28/02/22
Projekt: Forschungsförderung
Teilchen und Wechselwirkungen
Grimus, W. (Projektleiter*in) & Hoang, A. H. (Projektleiter*in)
9/12/13 → 31/12/21
Projekt: Forschungsförderung

Zitationsweisen

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AU - Wutte, Raphaela

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AB - We derive a formula for the energy of asymptotically locally hyperbolic (ALH) manifolds obtained by a gluing at infinity of two ALH manifolds. As an application we show that there exist three-dimensional conformally compact ALH manifolds either without boundary or with toroidal black hole boundary, with connected conformal infinity of higher genus, with constant negative scalar curvature, and with negative mass.

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Hyperbolic energy and Maskit gluings

Abstract

ÖFOS 2012

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Projekte

Elliptische Probleme in der Allgemeinen Relativitätstheorie

Teilchen und Wechselwirkungen

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