Construction of Cauchy data of vacuum Einstein field equations evolving to black holes

DOI10.4007/annals.2015.181.2.6zbMath1321.83011arXiv1207.3164OpenAlexW2963313690WikidataQ126107283 ScholiaQ126107283MaRDI QIDQ2255294

Pin Yu, Junbin Li

Publication date: 9 February 2015

Published in: Annals of Mathematics. Second Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1207.3164

zbMATH Keywords

black holesEinstein constraints equations

Mathematics Subject Classification ID

Black holes (83C57) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Space-time singularities, cosmic censorship, etc. (83C75) Einstein equations (35Q76)

Related Items (13)

A scale-critical trapped surface formation criterion: a new proof via signature for decay rates ⋮ The general relativistic constraint equations ⋮ On the focusing effect of gravitational waves ⋮ Stability of Minkowski space and polyhomogeneity of the metric ⋮ A construction of collapsing spacetimes in vacuum ⋮ Black hole formation and stability: A mathematical investigation ⋮ Multi-localized time-symmetric initial data for the Einstein vacuum equations ⋮ Examples of naked singularity formation in higher-dimensional Einstein-vacuum spacetimes ⋮ Singularities, black holes, and cosmic censorship: a tribute to Roger Penrose ⋮ Numerical initial data deformation exploiting a gluing construction: I. Exterior asymptotic Schwarzschild ⋮ Singularities in general relativity ⋮ Instability of spherical naked singularities of a scalar field under gravitational perturbations ⋮ Penrose's 1965 singularity theorem: from geodesic incompleteness to cosmic censorship

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