Hyperboloidal Approach to Quasinormal Modes
Oscillations of black hole spacetimes exhibit divergent behavior toward the bifurcation sphere and spatial infinity. This divergence can be understood as a consequence of the geometry in these spacetime regions. In contrast, black-hole oscillations are regular when evaluated toward the event horizon...
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| Main Authors | , |
|---|---|
| Format | Journal Article |
| Language | English |
| Published |
17.09.2024
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| Subjects | |
| Online Access | Get full text |
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| Abstract | Oscillations of black hole spacetimes exhibit divergent behavior toward the
bifurcation sphere and spatial infinity. This divergence can be understood as a
consequence of the geometry in these spacetime regions. In contrast, black-hole
oscillations are regular when evaluated toward the event horizon and null
infinity. Hyperboloidal surfaces naturally connect these regions, providing a
geometric regularization of time-harmonic oscillations called quasinormal modes
(QNMs). This review traces the historical development of the hyperboloidal
approach to QNMs. We discuss the physical motivation for the hyperboloidal
approach and highlight current developments in the field. |
|---|---|
| AbstractList | Oscillations of black hole spacetimes exhibit divergent behavior toward the
bifurcation sphere and spatial infinity. This divergence can be understood as a
consequence of the geometry in these spacetime regions. In contrast, black-hole
oscillations are regular when evaluated toward the event horizon and null
infinity. Hyperboloidal surfaces naturally connect these regions, providing a
geometric regularization of time-harmonic oscillations called quasinormal modes
(QNMs). This review traces the historical development of the hyperboloidal
approach to QNMs. We discuss the physical motivation for the hyperboloidal
approach and highlight current developments in the field. |
| Author | Zenginoglu, Anil Macedo, Rodrigo Panosso |
| Author_xml | – sequence: 1 givenname: Rodrigo Panosso surname: Macedo fullname: Macedo, Rodrigo Panosso – sequence: 2 givenname: Anil surname: Zenginoglu fullname: Zenginoglu, Anil |
| BackLink | https://doi.org/10.48550/arXiv.2409.11478$$DView paper in arXiv |
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| Snippet | Oscillations of black hole spacetimes exhibit divergent behavior toward the
bifurcation sphere and spatial infinity. This divergence can be understood as a... |
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| SubjectTerms | Mathematics - Mathematical Physics Physics - General Relativity and Quantum Cosmology Physics - High Energy Physics - Theory Physics - Mathematical Physics |
| Title | Hyperboloidal Approach to Quasinormal Modes |
| URI | https://arxiv.org/abs/2409.11478 |
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