On Asymptotically Locally Hyperbolic Metrics with Negative Mass
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 infini...
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| Veröffentlicht in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Datum: | 2023 |
| ISSN: | 1815-0659 |
| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Englisch |
| Veröffentlicht: |
Інститут математики НАН України
2023
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/211879 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | On Asymptotically Locally Hyperbolic Metrics with Negative Mass. Piotr T. Chruściel and Erwann Delay. SIGMA 19 (2023), 005, 15 pages |
Institution
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862631136812859392 |
|---|---|
| author | Chruściel, Piotr T. Delay, Erwann |
| author_facet | Chruściel, Piotr T. Delay, Erwann |
| citation_txt | On Asymptotically Locally Hyperbolic Metrics with Negative Mass. Piotr T. Chruściel and Erwann Delay. SIGMA 19 (2023), 005, 15 pages |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | 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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| first_indexed | 2026-03-14T18:44:29Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-211879 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2026-03-14T18:44:29Z |
| publishDate | 2023 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Chruściel, Piotr T. Delay, Erwann 2026-01-14T09:56:21Z 2023 On Asymptotically Locally Hyperbolic Metrics with Negative Mass. Piotr T. Chruściel and Erwann Delay. SIGMA 19 (2023), 005, 15 pages 1815-0659 2020 Mathematics Subject Classification: 53C21; 83C05 arXiv:2207.14563 https://nasplib.isofts.kiev.ua/handle/123456789/211879 https://doi.org/10.3842/SIGMA.2023.005 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. ED was supported by the grant ANR-17-CE40-0034 of the French National Research Agency ANR (project CCEM). en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications On Asymptotically Locally Hyperbolic Metrics with Negative Mass Article published earlier |
| spellingShingle | On Asymptotically Locally Hyperbolic Metrics with Negative Mass Chruściel, Piotr T. Delay, Erwann |
| title | On Asymptotically Locally Hyperbolic Metrics with Negative Mass |
| title_full | On Asymptotically Locally Hyperbolic Metrics with Negative Mass |
| title_fullStr | On Asymptotically Locally Hyperbolic Metrics with Negative Mass |
| title_full_unstemmed | On Asymptotically Locally Hyperbolic Metrics with Negative Mass |
| title_short | On Asymptotically Locally Hyperbolic Metrics with Negative Mass |
| title_sort | on asymptotically locally hyperbolic metrics with negative mass |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/211879 |
| work_keys_str_mv | AT chruscielpiotrt onasymptoticallylocallyhyperbolicmetricswithnegativemass AT delayerwann onasymptoticallylocallyhyperbolicmetricswithnegativemass |