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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Bibliographic Details
Published inFrontiers in physics Vol. 12
Main Authors Panosso Macedo, Rodrigo, Zenginoğlu, Anıl
Format Journal Article
LanguageEnglish
Published Frontiers Media S.A 17.01.2025
Subjects
black holes
frequency domain
hyperboloidal
non-selfadjoint operators
quasinormal modes
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ISSN2296-424X
2296-424X
DOI10.3389/fphy.2024.1497601

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Summary: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.
ISSN:2296-424X
2296-424X
DOI:10.3389/fphy.2024.1497601