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Asymptotically de Sitter metrics from scattering data in all dimensions

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arxiv 2311.02739 v1 pith:JHYZZHIT submitted 2023-11-05 gr-qc math.AP

classification gr-qcmath.AP
keywords dimensionsasymptoticallydatasitteralternativeandersonboundarycase
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abstract

In spacetime dimensions $n+1\geq 4$, we show the existence of solutions of the Einstein vacuum equations which describe asymptotically de Sitter spacetimes with prescribed smooth data at the conformal boundary. This provides a short alternative proof of a special case of a result by Shlapentokh-Rothman and Rodnianski, and generalizes earlier results by Friedrich and Anderson to all dimensions.

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  1. Classification of $\Lambda \neq 0$-vacuum algebraically special spacetimes with conformally flat $\mathscr I$ from Weyl tensor expansion

    gr-qc 2025-07 conditional novelty 7.0 of 10

    In four-dimensional Lambda-vacuum spacetimes, algebraic specialness plus local conformal flatness of null infinity forces the asymptotic Weyl data into the Kerr-de Sitter-like class.

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