Stability and instability of the sub-extremal Reissner-Nordström black hole interior for the Einstein-Maxwell-Klein-Gordon equations in spherical symmetry
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Publication:1637286
DOI10.1007/s00220-017-3079-3zbMath1394.83008arXiv1704.05790OpenAlexW3102650134MaRDI QIDQ1637286
Publication date: 7 June 2018
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1704.05790
stabilityinstabilitygeneral relativityquantum fieldsEinstein-Maxwell-Klein-Gordon equationsReissner-Nordstrom solution
Black holes (83C57) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Methods of quantum field theory in general relativity and gravitational theory (83C47) Space-time singularities, cosmic censorship, etc. (83C75) Einstein-Maxwell equations (83C22)
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Cites Work
- Unnamed Item
- Boundedness of massless scalar waves on Reissner-Nordström interior backgrounds
- Decay for solutions of the wave equation on Kerr exterior spacetimes. III: The full subextremalcase \(|a| < M\).
- The global structure of spherically symmetric charged scalar field spacetimes
- The global nonlinear stability of Minkowski space for self-gravitating massive fields. The wave-Klein-Gordon model
- Proof of linear instability of the Reissner-Nordström Cauchy horizon under scalar perturbations
- Instability results for the wave equation in the interior of Kerr black holes
- Stability and instability of the Cauchy horizon for the spherically symmetric Einstein-Maxwell-scalar field equations
- Boundedness and decay of scalar waves at the Cauchy horizon of the Kerr spacetime
- Time-periodic Einstein-Klein-Gordon bifurcations of Kerr
- Non-existence of time-periodic vacuum space-times
- The \(C^0\)-inextendibility of the Schwarzschild spacetime and the spacelike diameter in Lorentzian geometry
- Exponentially growing finite energy solutions for the Klein-Gordon equation on sub-extremal Kerr spacetimes
- Strong cosmic censorship in spherical symmetry for two-ended asymptotically flat initial data II: the exterior of the Black Hole region
- Strong cosmic censorship in spherical symmetry for two-ended asymptotically flat initial data. I: The interior of the black hole region
- A proof of Price's law for the collapse of a self-gravitating scalar field
- Inner structure of a charged black hole: An exact mass-inflation solution
- The interior of charged black holes and the problem of uniqueness in general relativity
- Lectures on black holes and linear waves
- On the global uniqueness for the Einstein–Maxwell-scalar field system with a cosmological constant: I. Well posedness and breakdown criterion
- On existence of mini-boson stars
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