Hyperbolic energy and Maskit gluings

Autor(en)

Piotr T. Chruściel, Erwann Delay, Raphaela Wutte

Abstrakt

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.

Organisation(en)

Gravitationsphysik

Externe Organisation(en)

University of Avignon, Technische Universität Wien

Journal

Advances in Theoretical and Mathematical Physics

Band

27

Seiten

1333-1403

Anzahl der Seiten

71

ISSN

1095-0761

DOI

https://doi.org/10.48550/arXiv.2112.00095

Publikationsdatum

07-2024

Peer-reviewed

Ja

ÖFOS 2012

101006 Differentialgeometrie, 103028 Relativitätstheorie, 103012 Hochenergiephysik

ASJC Scopus Sachgebiete

Allgemeine Mathematik, Allgemeine Physik und Astronomie

Link zum Portal

https://ucrisportal.univie.ac.at/de/publications/553f124f-d85f-4505-99b8-b21cdcb904b7