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- W4212783253 abstract "Using asymptotic characterization results of spacetimes at conformal infinity, we prove that Kerr-Schild--de Sitter spacetimes are in one-to-one correspondence with spacetimes in the Kerr--de Sitter-like class with conformally flat $mathcal{I}$. Kerr-Schild--de Sitter are spacetimes of Kerr-Schild form with de Sitter background that solve the $(mathrm{ensuremath{Lambda}}>0)$-vacuum Einstein equations and admit a smooth conformal compactification sharing $mathcal{I}$ with the background metric. Kerr--de Sitter-like metrics with conformally flat $mathcal{I}$ are a generalization of the Kerr--de Sitter metrics, defined originally in four spacetime dimensions and extended here to all dimensions in terms of their initial data at $mathcal{I}$. We explicitly construct all metrics in this class as limits or analytic extensions of Kerr--de Sitter. The structure of limits is inferred from corresponding limits of the asymptotic data, which appear to be hard to guess from the spacetime metrics." @default.
- W4212783253 created "2022-02-24" @default.
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- W4212783253 date "2022-02-14" @default.
- W4212783253 modified "2023-10-16" @default.
- W4212783253 title "Classification of Kerr–de Sitter-like spacetimes with conformally flat <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML display=inline><mml:mi mathvariant=script>I</mml:mi></mml:math> in all dimensions" @default.
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- W4212783253 doi "https://doi.org/10.1103/physrevd.105.044027" @default.
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