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Asymptotics of Killing horizons: A Characterization in de Sitter Spacetime
We prove that (n + 1)-dimensional de Sitter spacetime is locally the unique $(Λ> 0)$-vacuum spacetime whose Killing horizons intersect the conformal boundary $\mathscr{I}$. The intersection occurs at the isolated essential zeros of the extension of the Killing vector field to $\mathscr{I}$. We then
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