Stationarity and Fredholm Theory in Subextremal Kerr-de Sitter Spacetimes
In a recent paper, we proved that solutions to linear wave equations in a subextremal Kerr-de Sitter spacetime have asymptotic expansions in quasinormal modes up to a decay order given by the normally hyperbolic trapping, extending the results of Vasy (2013). One central ingredient in the argument w...
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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Date: | 2024 |
| Main Authors: | , |
| Format: | Article |
| Language: | English |
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Інститут математики НАН України
2024
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/212255 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Stationarity and Fredholm Theory in Subextremal Kerr-de Sitter Spacetimes. Oliver Petersen and András Vasy. SIGMA 20 (2024), 052, 11 pages |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862641181352001536 |
|---|---|
| author | Petersen, Oliver Vasy, András |
| author_facet | Petersen, Oliver Vasy, András |
| citation_txt | Stationarity and Fredholm Theory in Subextremal Kerr-de Sitter Spacetimes. Oliver Petersen and András Vasy. SIGMA 20 (2024), 052, 11 pages |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | In a recent paper, we proved that solutions to linear wave equations in a subextremal Kerr-de Sitter spacetime have asymptotic expansions in quasinormal modes up to a decay order given by the normally hyperbolic trapping, extending the results of Vasy (2013). One central ingredient in the argument was a new definition of quasinormal modes, where a non-standard choice of stationary Killing vector field had to be used in order for the Fredholm theory to be applicable. In this paper, we show that there is, in fact, a variety of allowed choices of stationary Killing vector fields. In particular, the horizon Killing vector fields work for the analysis, in which case one of the corresponding ergoregions is completely removed.
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| first_indexed | 2026-03-15T06:28:16Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-212255 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2026-03-15T06:28:16Z |
| publishDate | 2024 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Petersen, Oliver Vasy, András 2026-02-03T07:55:03Z 2024 Stationarity and Fredholm Theory in Subextremal Kerr-de Sitter Spacetimes. Oliver Petersen and András Vasy. SIGMA 20 (2024), 052, 11 pages 1815-0659 2020 Mathematics Subject Classification: 35L05; 35P25; 58J45; 83C30 arXiv:2306.09213 https://nasplib.isofts.kiev.ua/handle/123456789/212255 https://doi.org/10.3842/SIGMA.2024.052 In a recent paper, we proved that solutions to linear wave equations in a subextremal Kerr-de Sitter spacetime have asymptotic expansions in quasinormal modes up to a decay order given by the normally hyperbolic trapping, extending the results of Vasy (2013). One central ingredient in the argument was a new definition of quasinormal modes, where a non-standard choice of stationary Killing vector field had to be used in order for the Fredholm theory to be applicable. In this paper, we show that there is, in fact, a variety of allowed choices of stationary Killing vector fields. In particular, the horizon Killing vector fields work for the analysis, in which case one of the corresponding ergoregions is completely removed. This paper is dedicated to Christian Bär’s 60th birthday. We would like to thank him for all his inspiring work. The first author gratefully acknowledges the support from the Swedish Research Council under grant number 2021-04269. The second author gratefully acknowledges support from the National Science Foundation under grant number DMS-1953987. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Stationarity and Fredholm Theory in Subextremal Kerr-de Sitter Spacetimes Article published earlier |
| spellingShingle | Stationarity and Fredholm Theory in Subextremal Kerr-de Sitter Spacetimes Petersen, Oliver Vasy, András |
| title | Stationarity and Fredholm Theory in Subextremal Kerr-de Sitter Spacetimes |
| title_full | Stationarity and Fredholm Theory in Subextremal Kerr-de Sitter Spacetimes |
| title_fullStr | Stationarity and Fredholm Theory in Subextremal Kerr-de Sitter Spacetimes |
| title_full_unstemmed | Stationarity and Fredholm Theory in Subextremal Kerr-de Sitter Spacetimes |
| title_short | Stationarity and Fredholm Theory in Subextremal Kerr-de Sitter Spacetimes |
| title_sort | stationarity and fredholm theory in subextremal kerr-de sitter spacetimes |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/212255 |
| work_keys_str_mv | AT petersenoliver stationarityandfredholmtheoryinsubextremalkerrdesitterspacetimes AT vasyandras stationarityandfredholmtheoryinsubextremalkerrdesitterspacetimes |