Rigidity of stationary black holes with small angular momentum on the horizon

DOI10.1215/00127094-2819517zbMath1311.35309arXiv1304.0487OpenAlexW3103891505MaRDI QIDQ480949

Alexandru D. Ionescu, Sergiu Klainerman, Spyridon Alexakis

Publication date: 12 December 2014

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1304.0487

zbMATH Keywords

EinsteinrigidityKilling vector fieldblack holesvacuum equationsKerr solutionslowly rotating stationary solution

Mathematics Subject Classification ID

Black holes (83C57) Applications of differential geometry to physics (53Z05) PDEs in connection with relativity and gravitational theory (35Q75) Equations of motion in general relativity and gravitational theory (83C10) Einstein equations (35Q76) Second-order quasilinear hyperbolic equations (35L72)

Related Items (12)

On the rigidity from infinity for nonlinear Alfvén waves ⋮ Linear stability of slowly rotating Kerr black holes ⋮ A gauge-invariant unique continuation criterion for waves in asymptotically anti-de Sitter spacetimes ⋮ On the existence of stationary Ricci solitons ⋮ The bulk-boundary correspondence for the Einstein equations in asymptotically anti-de Sitter spacetimes ⋮ Analyticity of quasinormal modes in the Kerr and Kerr-De Sitter spacetimes ⋮ On the rigidity of stationary charged black holes: small perturbations of the non-extremal Kerr-Newman family ⋮ Uniqueness of Kerr-Newman-de Sitter black holes with small angular momenta ⋮ Algorithmic characterization results for the Kerr-NUT-(A)dS space-time. I. A space-time approach ⋮ Extension of Killing vector fields beyond compact Cauchy horizons ⋮ Singularities, black holes, and cosmic censorship: a tribute to Roger Penrose ⋮ A spacetime characterization of the Kerr-NUT-(A)de Sitter and related metrics

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