Transients in black hole perturbation theory
Fuente:
arXiv
Salvato in:
| Autori principali: | , , , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2025
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866916856205410304 |
|---|---|
| author | Besson, Jérémy Carballo, Javier Pantelidou, Christiana Withers, Benjamin |
| author_facet | Besson, Jérémy Carballo, Javier Pantelidou, Christiana Withers, Benjamin |
| contents | Black hole quasinormal modes arise as eigenmodes of a non-normal Hamiltonian and consequently they do not obey orthogonality relations with respect to commonly used inner products, for example, the energy inner product. A direct consequence of this is the appearance of transient phenomena. This review summarises current developments on the topic, both in frequency- and time-domain. In particular, we discuss the appearance of i) transient plateaus: arbitrarily long-lived sums of quasinormal modes, corresponding to localised energy packets near the future horizon; ii) transient growth, with the latter either appearing in the vicinity of black hole phase transitions or in the context of higher-derivative Sobolev norms. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_16493 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Transients in black hole perturbation theory Besson, Jérémy Carballo, Javier Pantelidou, Christiana Withers, Benjamin General Relativity and Quantum Cosmology Black hole quasinormal modes arise as eigenmodes of a non-normal Hamiltonian and consequently they do not obey orthogonality relations with respect to commonly used inner products, for example, the energy inner product. A direct consequence of this is the appearance of transient phenomena. This review summarises current developments on the topic, both in frequency- and time-domain. In particular, we discuss the appearance of i) transient plateaus: arbitrarily long-lived sums of quasinormal modes, corresponding to localised energy packets near the future horizon; ii) transient growth, with the latter either appearing in the vicinity of black hole phase transitions or in the context of higher-derivative Sobolev norms. |
| title | Transients in black hole perturbation theory |
| topic | General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2507.16493 |