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Symmetry, Integrability and Geometry: Methods and Applications, 2023, Volume 19, 005, 15 pp.
DOI: https://doi.org/10.3842/SIGMA.2023.005 (Mi sigma1900) 		 
On Asymptotically Locally Hyperbolic Metrics with Negative Mass

Piotr T. Chrusciela, Erwann Delayb

a Laboratoire de Mathématiques d'Avignon, Avignon Université, F-84916 Avignon, France
b F.R.U.M.A.M., CNRS, F-13331 Marseille, France
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DOI: https://doi.org/10.3842/SIGMA.2023.005
Abstract: We construct families of asymptotically locally hyperbolic Riemannian metrics with constant scalar curvature (i.e., time symmetric vacuum general relativistic initial data sets with negative cosmological constant), with prescribed topology of apparent horizons and of the conformal boundary at infinity, and with controlled mass. In particular we obtain new classes of solutions with negative mass.
Keywords: scalar curvature, asymptotically hyperbolic manifolds, negative mass.
Funding agency Grant number
Agence Nationale de la Recherche ANR-17-CE40-0034
ED was supported by the grant ANR-17-CE40-0034 of the French National Research Agency ANR (project CCEM).
Received: August 1, 2022; in final form January 17, 2023; Published online January 23, 2023
Bibliographic databases:
Document Type: Article
MSC: 53C21, 83C05
Language: English
Citation: Piotr T. Chrusciel, Erwann Delay, “On Asymptotically Locally Hyperbolic Metrics with Negative Mass”, SIGMA, 19 (2023), 005, 15 pp.
Citation in format AMSBIB
\Bibitem{ChrDel23}
\by Piotr~T.~Chrusciel, Erwann~Delay
\paper On Asymptotically Locally Hyperbolic Metrics with Negative Mass
\jour SIGMA
\yr 2023
\vol 19
\papernumber 005
\totalpages 15
\mathnet{http://mi.mathnet.ru/sigma1900}
\crossref{https://doi.org/10.3842/SIGMA.2023.005}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4537570}
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