On Asymptotically Locally Hyperbolic Metrics with Negative Mass

Piotr T. Chrusciel; Erwann Delay

doi:10.3842/SIGMA.2023.005

On Asymptotically Locally Hyperbolic Metrics with Negative Mass

Piotr T. Chrusciel (Corresponding author), Erwann Delay (Corresponding author)

Gravitational Physics

Publications: Contribution to journal › Article › Peer Reviewed

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.

Original language	English
Article number	005
Number of pages	15
Journal	Symmetry, Integrability and Geometry: Methods and Applications
Volume	19
DOIs	https://doi.org/10.3842/SIGMA.2023.005 https://doi.org/10.48550/arXiv.2207.14563
Publication status	Published - 23 Jan 2023

Austrian Fields of Science 2012

103012 High energy physics
103028 Theory of relativity

Keywords

scalar curvature
asymptotically hyperbolic manifolds
negative mass

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10.3842/SIGMA.2023.005Licence: CC BY-SA 4.0
10.48550/arXiv.2207.14563Licence: CC BY-SA 4.0

Cite this

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title = "On Asymptotically Locally Hyperbolic Metrics with Negative Mass",

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.",

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AU - Delay, Erwann

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N2 - 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.

AB - 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.

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KW - asymptotically hyperbolic manifolds

KW - negative mass

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DO - 10.3842/SIGMA.2023.005

M3 - Article

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JO - Symmetry, Integrability and Geometry: Methods and Applications

JF - Symmetry, Integrability and Geometry: Methods and Applications

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On Asymptotically Locally Hyperbolic Metrics with Negative Mass

Abstract

Austrian Fields of Science 2012

Keywords

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