Stationarity and Fredholm Theory in Subextremal Kerr-de Sitter Spacetimes
Fuente:
arXiv
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2023
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866911925353316352 |
|---|---|
| author | Petersen, Oliver Vasy, András |
| author_facet | Petersen, Oliver Vasy, András |
| contents | In a recent paper, we proved that solutions to linear wave equations in a subextremal Kerr-de Sitter spacetime have asymptotic expansions in quasinormal modes up to a decay order given by the normally hyperbolic trapping, extending the results of Vasy (2013). One central ingredient in the argument was a new definition of quasinormal modes, where a non-standard choice of stationary Killing vector field had to be used in order for the Fredholm theory to be applicable. In this paper, we show that there is in fact a variety of allowed choices of stationary Killing vector fields. In particular, the horizon Killing vector fields work for the analysis, in which case one of the corresponding ergoregions is completely removed. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2306_09213 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Stationarity and Fredholm Theory in Subextremal Kerr-de Sitter Spacetimes Petersen, Oliver Vasy, András Analysis of PDEs General Relativity and Quantum Cosmology Differential Geometry 35L05, 35P25, 58J45, 83C30 In a recent paper, we proved that solutions to linear wave equations in a subextremal Kerr-de Sitter spacetime have asymptotic expansions in quasinormal modes up to a decay order given by the normally hyperbolic trapping, extending the results of Vasy (2013). One central ingredient in the argument was a new definition of quasinormal modes, where a non-standard choice of stationary Killing vector field had to be used in order for the Fredholm theory to be applicable. In this paper, we show that there is in fact a variety of allowed choices of stationary Killing vector fields. In particular, the horizon Killing vector fields work for the analysis, in which case one of the corresponding ergoregions is completely removed. |
| title | Stationarity and Fredholm Theory in Subextremal Kerr-de Sitter Spacetimes |
| topic | Analysis of PDEs General Relativity and Quantum Cosmology Differential Geometry 35L05, 35P25, 58J45, 83C30 |
| url | https://arxiv.org/abs/2306.09213 |