A scattering theory for linear waves on the interior of Reissner-Nordström black holes
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Publication:2414923
DOI10.1007/s00023-019-00760-zzbMath1419.83038arXiv1804.05438OpenAlexW3102270753MaRDI QIDQ2414923
Christoph Kehle, Yakov Shlapentokh-Rothman
Publication date: 17 May 2019
Published in: Annales Henri Poincaré (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1804.05438
Black holes (83C57) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Quantum field theory on curved space or space-time backgrounds (81T20) Applications of differential geometry to physics (53Z05) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Methods of quantum field theory in general relativity and gravitational theory (83C47) (2)-body potential quantum scattering theory (81U05) Einstein-Maxwell equations (83C22)
Related Items (22)
A scattering theory for linearised gravity on the exterior of the Schwarzschild black hole. I: The Teukolsky equations ⋮ Conformal scattering and the Goursat problem for Dirac fields in the interior of charged spherically symmetric black holes ⋮ On the scattering of waves inside charged spherically symmetric black holes ⋮ Mass inflation and the \(C^2\)-inextendibility of spherically symmetric charged scalar field dynamical black holes ⋮ Uniform boundedness and continuity at the Cauchy horizon for linear waves on Reissner-Nordström-AdS black holes ⋮ Instability of the Kerr Cauchy horizon under linearised gravitational perturbations ⋮ Conformal scattering of the Maxwell-scalar field system on de Sitter space ⋮ The scattering map on collapsing charged spherically symmetric spacetimes ⋮ Conformal scattering theories for tensorial wave equations on Schwarzschild spacetime ⋮ Higher order linear stability and instability of Reissner-Nordström's Cauchy horizon ⋮ Mathematical aspects of general relativity. Abstracts from the workshop held August 29 -- September 4, 2021 (hybrid meeting) ⋮ A scattering theory approach to Cauchy horizon instability and applications to mass inflation ⋮ A non-degenerate scattering theory for the wave equation on extremal Reissner-Nordström ⋮ Strong cosmic censorship for a scalar field in a logarithmic-de Sitter black hole ⋮ Conformal scattering theory for the linearized gravity fields on Schwarzschild spacetime ⋮ Quantum instability of the Cauchy horizon in Reissner–Nordström–deSitter spacetime ⋮ Classical tools for antipodal identification in Reissner–Nordström spacetime ⋮ Blowup of the local energy of linear waves at the Reissner–Nordström–AdS Cauchy horizon ⋮ Scattering theory for Dirac fields inside a Reissner–Nordström-type black hole ⋮ The BTZ black hole violates strong cosmic censorship ⋮ Rough initial data and the strength of the blue-shift instability on cosmological black holes with Λ > 0 ⋮ Diophantine approximation as cosmic censor for Kerr-AdS black holes
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