Black hole instabilities and exponential growth

DOI10.1007/s00220-015-2446-1zbMath1326.83053arXiv1501.02522OpenAlexW1901718843MaRDI QIDQ500042

Robert M. Wald, Kartik Prabhu

Publication date: 7 October 2015

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1501.02522

zbMATH Keywords

Hilbert spaceperturbationsself-adjoint operatorexponential growthblack branesblack hole instabilitieslinearized Einstein equationnegative canonical energystationary-axisymmetric black holesvacuum general relativity

Mathematics Subject Classification ID

Black holes (83C57) Linear symmetric and selfadjoint operators (unbounded) (47B25) String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Gravitational energy and conservation laws; groups of motions (83C40) Space-time singularities, cosmic censorship, etc. (83C75) Kaluza-Klein and other higher-dimensional theories (83E15) Exact solutions to problems in general relativity and gravitational theory (83C15) Approximation procedures, weak fields in general relativity and gravitational theory (83C25)

Related Items (5)

Stability of stationary-axisymmetric black holes in vacuum general relativity to axisymmetric electromagnetic perturbations ⋮ Instabilities of extremal rotating black holes in higher dimensions ⋮ Boundedness and decay for the Teukolsky equation on Kerr spacetimes. I: The case \(|a|\ll M\) ⋮ Canonical energy and Hertz potentials for perturbations of Schwarzschild spacetime ⋮ The Gregory–Laflamme instability of the Schwarzschild black string exterior

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