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Stationarity and Fredholm Theory in Subextremal Kerr–de Sitter Spacetimes
Symmetry, integrability and geometry: methods and applications, Tome 20 (2024) Cet article a éte moissonné depuis la source Math-Net.Ru

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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.
Keywords: subextremal Kerr–de Sitter spacetime, resonances, radial points, normally hyperbolic trapping.
Mots-clés : quasinormal modes 
@article{SIGMA_2024_20_a51,
     author = {Oliver Petersen and Andr\'as Vasy},
     title = {Stationarity and {Fredholm} {Theory} in {Subextremal} {Kerr{\textendash}de} {Sitter} {Spacetimes}},
     journal = {Symmetry, integrability and geometry: methods and applications},
     year = {2024},
     volume = {20},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SIGMA_2024_20_a51/}
}
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Oliver Petersen; András Vasy. Stationarity and Fredholm Theory in Subextremal Kerr–de Sitter Spacetimes. Symmetry, integrability and geometry: methods and applications, Tome 20 (2024). http://geodesic.mathdoc.fr/item/SIGMA_2024_20_a51/

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