TL;DR
This paper classifies extremal near-horizon geometries in five-dimensional de-Sitter supergravity, revealing that only the de-Sitter BMPV solution's geometry exists and ruling out regular extremal pseudo-supersymmetric black rings.
Contribution
It provides a complete classification of pseudo-supersymmetric extremal near-horizon geometries in minimal five-dimensional de-Sitter supergravity, showing the uniqueness of the de-Sitter BMPV solution.
Findings
Only the near-horizon geometry of the de-Sitter BMPV solution exists.
No regular extremal pseudo-supersymmetric asymptotically de-Sitter black rings.
Classification of near-horizon geometries in this context.
Abstract
We classify all pseudo-supersymmetric extremal near-horizon geometries in minimal five-dimensional de-Sitter supergravity. It is shown that the only such near-horizon geometry is the near-horizon geometry of the de-Sitter BMPV solution, and hence there are no regular extremal pseudo-supersymmetric asymptotically de-Sitter black rings.
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