Weak null singularities in general relativity

DOI10.1090/jams/888zbMath1377.83062arXiv1311.4970OpenAlexW2963308881MaRDI QIDQ4588340

Jonathan Luk

Publication date: 2 November 2017

Published in: Journal of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1311.4970

zbMATH Keywords

null hypersurfacesblack holesgravitational collapsegeneral relativityvacuum Einstein equationsChristoffel symbolsnull singularitiesimpulsive gravitational spacetimes

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) Black holes (83C57) Applications of differential geometry to physics (53Z05) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Space-time singularities, cosmic censorship, etc. (83C75) PDEs in connection with relativity and gravitational theory (35Q75) Equations of motion in general relativity and gravitational theory (83C10) Einstein equations (35Q76)

Related Items (30)

Linear waves in the interior of extremal black holes. I ⋮ The maximal development of near-FLRW data for the Einstein-scalar field system with spatial topology \(\mathbb{S}^3\) ⋮ Boundedness of massless scalar waves on Reissner-Nordström interior backgrounds ⋮ On the backward stability of the Schwarzschild black hole singularity ⋮ On the global uniqueness for the Einstein-Maxwell-scalar field system with a cosmological constant. III: Mass inflation and extendibility of the solutions ⋮ Mass inflation and the \(C^2\)-inextendibility of spherically symmetric charged scalar field dynamical black holes ⋮ Bounded energy waves on the black hole interior of Reissner-Nordström-de Sitter ⋮ Polynomial blow-up upper bounds for the Einstein-Scalar Field system under spherical symmetry ⋮ Precise late-time asymptotics of scalar field in the interior of a subextreme Kerr black hole and its application in Strong Cosmic Censorship conjecture ⋮ Instability of the Kerr Cauchy horizon under linearised gravitational perturbations ⋮ Nonlinear interaction of three impulsive gravitational waves. II: The wave estimates ⋮ Singularities in 2D and 3D quantum black holes ⋮ Asymptotically Kasner-like singularities ⋮ Localized big bang stability for the Einstein-scalar field equations ⋮ The breakdown of weak null singularities inside black holes ⋮ Emergence of apparent horizon in gravitational collapse ⋮ On the global uniqueness for the Einstein-Maxwell-scalar field system with a cosmological constant ⋮ Singularities, black holes, and cosmic censorship: a tribute to Roger Penrose ⋮ The hyperboloidal numerical evolution of a good-bad-ugly wave equation ⋮ Singularities in general relativity ⋮ The interior of dynamical extremal black holes in spherical symmetry ⋮ Charged particle production rate from cosmic censorship in dilaton black hole spacetimes ⋮ Contracting asymptotics of the linearized lapse-scalar field sub-system of the Einstein-scalar field equations ⋮ Unnamed Item ⋮ Stable ODE-type blowup for some quasilinear wave equations with derivative-quadratic nonlinearities ⋮ Boundedness of massless scalar waves on Kerr interior backgrounds ⋮ Instability of spherical naked singularities of a scalar field under gravitational perturbations ⋮ Rough initial data and the strength of the blue-shift instability on cosmological black holes with Λ > 0 ⋮ Penrose's 1965 singularity theorem: from geodesic incompleteness to cosmic censorship ⋮ On black hole thermodynamics, singularity, and gravitational entropy

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the formation of trapped surfaces
• Black holes without spacelike singularities
• The formation of black holes in general relativity.
• Stability and instability of the Cauchy horizon for the spherically symmetric Einstein-Maxwell-scalar field equations
• Nonlinear interaction of impulsive gravitational waves for the vacuum Einstein equations
• The evolution problem in general relativity
• A proof of Price's law for the collapse of a self-gravitating scalar field
• Black Hole Singularities: A Numerical Approach
• Structure of the Black Hole's Cauchy-Horizon Singularity
• On crossing the Cauchy horizon of a Reissner–Nordström black-hole
• On the Local Existence for the Characteristic Initial Value Problem in General Relativity
• The interior of charged black holes and the problem of uniqueness in general relativity
• Structure of the charged spherical black hole interior
• Local Propagation of Impulsive GravitationalWaves
• Gravitational Collapse and Space-Time Singularities

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