MathDB4 problems
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Dafermos–Holzegel static uniqueness conjecture for the Eguchi-Hanson mass gap
Dafermos–Holzegel conjecture. There are no static, globally regular asymptotically locally AdS solutions to the five-dimensional Einstein vacuum equations with topology…
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Clarkson–Mann minimal-mass conjecture for Eguchi-Hanson-AdS data
Clarkson–Mann conjecture. The mass satisfies
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Horowitz–Myers conjecture on the AdS soliton as the ground state
Horowitz–Myers conjecture. The AdS soliton is the ground state in a suitable class of asymptotically locally anti-de Sitter spacetimes with toroidal topology at infinity.
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Dafermos–Holzegel conjecture on naked singularity formation for Eguchi-Hanson-AdS perturbations
Dafermos–Holzegel conjecture. Small perturbations of Eguchi-Hanson-AdS spacetimes have a Penrose diagram as depicted in Figure. Moreover, is future incomplete.