Geodesic
On Asymptotically Locally Hyperbolic Metrics with Negative Mass
Symmetry, integrability and geometry: methods and applications, Tome 19 (2023) Cet article a éte moissonné depuis la source Math-Net.Ru

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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. 
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     author = {Piotr T. Chrusciel and Erwann Delay},
     title = {On {Asymptotically} {Locally} {Hyperbolic} {Metrics} with {Negative} {Mass}},
     journal = {Symmetry, integrability and geometry: methods and applications},
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     url = {http://geodesic.mathdoc.fr/item/SIGMA_2023_19_a4/}
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Piotr T. Chrusciel; Erwann Delay. On Asymptotically Locally Hyperbolic Metrics with Negative Mass. Symmetry, integrability and geometry: methods and applications, Tome 19 (2023). http://geodesic.mathdoc.fr/item/SIGMA_2023_19_a4/

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