Quantitative Mode Stability for the Wave Equation on the Kerr Spacetime
We give a quantitative refinement and simple proofs of mode stability type statements for the wave equation on Kerr backgrounds in the full sub-extremal range (|a| < M). As an application, we are able to quantitatively control the energy flux along the horizon and null infinity and establish int...
| Main Author: | |
|---|---|
| Other Authors: | |
| Format: | Article |
| Language: | English |
| Published: |
Springer Basel
2019
|
| Online Access: | http://hdl.handle.net/1721.1/121094 |
| _version_ | 1826217562306772992 |
|---|---|
| author | Shlapentokh-Rothman, Yakov Mordechai |
| author2 | Massachusetts Institute of Technology. Department of Mathematics |
| author_facet | Massachusetts Institute of Technology. Department of Mathematics Shlapentokh-Rothman, Yakov Mordechai |
| author_sort | Shlapentokh-Rothman, Yakov Mordechai |
| collection | MIT |
| description | We give a quantitative refinement and simple proofs of mode stability type statements for the wave equation on Kerr backgrounds in the full sub-extremal range (|a| < M). As an application, we are able to quantitatively control the energy flux along the horizon and null infinity and establish integrated local energy decay for solutions to the wave equation in any bounded-frequency regime. Keywords: Black Hole, Wave Equation, Half Plane, Quasinormal Mode, Mode Stability |
| first_indexed | 2024-09-23T17:05:39Z |
| format | Article |
| id | mit-1721.1/121094 |
| institution | Massachusetts Institute of Technology |
| language | English |
| last_indexed | 2024-09-23T17:05:39Z |
| publishDate | 2019 |
| publisher | Springer Basel |
| record_format | dspace |
| spelling | mit-1721.1/1210942022-09-29T23:38:44Z Quantitative Mode Stability for the Wave Equation on the Kerr Spacetime Shlapentokh-Rothman, Yakov Mordechai Massachusetts Institute of Technology. Department of Mathematics Shlapentokh-Rothman, Yakov Mordechai We give a quantitative refinement and simple proofs of mode stability type statements for the wave equation on Kerr backgrounds in the full sub-extremal range (|a| < M). As an application, we are able to quantitatively control the energy flux along the horizon and null infinity and establish integrated local energy decay for solutions to the wave equation in any bounded-frequency regime. Keywords: Black Hole, Wave Equation, Half Plane, Quasinormal Mode, Mode Stability 2019-03-26T13:56:39Z 2019-03-26T13:56:39Z 2014-01 2013-02 2019-02-02T04:45:59Z Article http://purl.org/eprint/type/JournalArticle 1424-0637 1424-0661 http://hdl.handle.net/1721.1/121094 Shlapentokh-Rothman, Yakov. “Quantitative Mode Stability for the Wave Equation on the Kerr Spacetime.” Annales Henri Poincaré 16, no. 1 (January 31, 2014): 289–345. en https://doi.org/10.1007/s00023-014-0315-7 Annales Henri Poincaré Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. Springer Basel application/pdf Springer Basel Springer Basel |
| spellingShingle | Shlapentokh-Rothman, Yakov Mordechai Quantitative Mode Stability for the Wave Equation on the Kerr Spacetime |
| title | Quantitative Mode Stability for the Wave Equation on the Kerr Spacetime |
| title_full | Quantitative Mode Stability for the Wave Equation on the Kerr Spacetime |
| title_fullStr | Quantitative Mode Stability for the Wave Equation on the Kerr Spacetime |
| title_full_unstemmed | Quantitative Mode Stability for the Wave Equation on the Kerr Spacetime |
| title_short | Quantitative Mode Stability for the Wave Equation on the Kerr Spacetime |
| title_sort | quantitative mode stability for the wave equation on the kerr spacetime |
| url | http://hdl.handle.net/1721.1/121094 |
| work_keys_str_mv | AT shlapentokhrothmanyakovmordechai quantitativemodestabilityforthewaveequationonthekerrspacetime |