4 problems
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The Eguchi–Hanson soliton instability conjecture
An Eguchi–Hanson soliton is a gravitational soliton in dimensions. Naked singularity formation refers to the development of a singularity visible from infinity. Eguchi–Hanson…
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Weak Cosmic Censorship conjecture in the regularity class
Consider spherically symmetric initial data for the Einstein-scalar field equations in the regularity class , and let their maximal globally hyperbolic development (MG…
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Weak Cosmic Censorship conjecture for generic regular initial data
Let the maximal globally hyperbolic development (MGHD) be the spacetime arising from regular initial data for the Einstein equations coupled with a reasonable matter model. Initial…
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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.