Hyperboloidal approach to quasinormal modes
Oscillations of black hole spacetimes exhibit divergent behavior near the bifurcation sphere and spatial infinity. In contrast, these oscillations remain regular when evaluated near the event horizon and null infinity. The hyperboloidal approach provides a natural framework to bridge these regions s...
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Frontiers Media S.A.
2025-01-01
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| Series: | Frontiers in Physics |
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| Online Access: | https://www.frontiersin.org/articles/10.3389/fphy.2024.1497601/full |
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| author | Rodrigo Panosso Macedo Anıl Zenginoğlu |
| author_facet | Rodrigo Panosso Macedo Anıl Zenginoğlu |
| author_sort | Rodrigo Panosso Macedo |
| collection | DOAJ |
| description | Oscillations of black hole spacetimes exhibit divergent behavior near the bifurcation sphere and spatial infinity. In contrast, these oscillations remain regular when evaluated near the event horizon and null infinity. The hyperboloidal approach provides a natural framework to bridge these regions smoothly, resulting in a geometric regularization of time-harmonic oscillations, known as quasinormal modes (QNMs). This review traces the development of the hyperboloidal approach to QNMs in asymptotically flat spacetimes, emphasizing both the physical motivation and recent advancements in the field. By providing a geometric perspective, the hyperboloidal approach offers an elegant framework for understanding black hole oscillations, with implications for improving numerical simulations, stability analysis, and the interpretation of gravitational wave signals. |
| format | Article |
| id | doaj-art-cba1eb79a9d84a798a8387bf2cb24a41 |
| institution | Kabale University |
| issn | 2296-424X |
| language | English |
| publishDate | 2025-01-01 |
| publisher | Frontiers Media S.A. |
| record_format | Article |
| series | Frontiers in Physics |
| spelling | doaj-art-cba1eb79a9d84a798a8387bf2cb24a412025-01-17T09:06:54ZengFrontiers Media S.A.Frontiers in Physics2296-424X2025-01-011210.3389/fphy.2024.14976011497601Hyperboloidal approach to quasinormal modesRodrigo Panosso Macedo0Anıl Zenginoğlu1Niels Bohr International Academy, Niels Bohr Institute, Copenhagen, DenmarkInstitute for Physical Science and Technology, University of Maryland, College Park, MD, United StatesOscillations of black hole spacetimes exhibit divergent behavior near the bifurcation sphere and spatial infinity. In contrast, these oscillations remain regular when evaluated near the event horizon and null infinity. The hyperboloidal approach provides a natural framework to bridge these regions smoothly, resulting in a geometric regularization of time-harmonic oscillations, known as quasinormal modes (QNMs). This review traces the development of the hyperboloidal approach to QNMs in asymptotically flat spacetimes, emphasizing both the physical motivation and recent advancements in the field. By providing a geometric perspective, the hyperboloidal approach offers an elegant framework for understanding black hole oscillations, with implications for improving numerical simulations, stability analysis, and the interpretation of gravitational wave signals.https://www.frontiersin.org/articles/10.3389/fphy.2024.1497601/fullhyperboloidalfrequency domainquasinormal modesblack holesnon-selfadjoint operators |
| spellingShingle | Rodrigo Panosso Macedo Anıl Zenginoğlu Hyperboloidal approach to quasinormal modes Frontiers in Physics hyperboloidal frequency domain quasinormal modes black holes non-selfadjoint operators |
| title | Hyperboloidal approach to quasinormal modes |
| title_full | Hyperboloidal approach to quasinormal modes |
| title_fullStr | Hyperboloidal approach to quasinormal modes |
| title_full_unstemmed | Hyperboloidal approach to quasinormal modes |
| title_short | Hyperboloidal approach to quasinormal modes |
| title_sort | hyperboloidal approach to quasinormal modes |
| topic | hyperboloidal frequency domain quasinormal modes black holes non-selfadjoint operators |
| url | https://www.frontiersin.org/articles/10.3389/fphy.2024.1497601/full |
| work_keys_str_mv | AT rodrigopanossomacedo hyperboloidalapproachtoquasinormalmodes AT anılzenginoglu hyperboloidalapproachtoquasinormalmodes |