Curvature blow-up and mass inflation in spherically symmetric collapse to a Schwarzschild black hole
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Publication:6040848
DOI10.1007/s00205-023-01883-8zbMath1522.83111arXiv2004.11831OpenAlexW4376128914MaRDI QIDQ6040848
Publication date: 22 May 2023
Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2004.11831
Unified quantum theories (81V22) Black holes (83C57) Geometrodynamics and the holographic principle (83E05) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Spherical and hyperbolic convexity (52A55) Blow-up in context of PDEs (35B44)
Cites Work
- Boundedness of massless scalar waves on Reissner-Nordström interior backgrounds
- On the backward stability of the Schwarzschild black hole singularity
- The global structure of spherically symmetric charged scalar field spacetimes
- Black holes without spacelike singularities
- On the global uniqueness for the Einstein-Maxwell-scalar field system with a cosmological constant
- Time-translation invariance of scattering maps and blue-shift instabilities on Kerr black hole spacetimes
- 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
- The formation of black holes in general relativity.
- The instability of naked singularities in the gravitational collapse of a scalar field.
- Stability and instability of the Cauchy horizon for the spherically symmetric Einstein-Maxwell-scalar field equations
- Stable big bang formation in near-FLRW solutions to the Einstein-scalar field and Einstein-stiff fluid systems
- The global non-linear stability of the Kerr-de Sitter family of black holes
- Stability and instability of the sub-extremal Reissner-Nordström black hole interior for the Einstein-Maxwell-Klein-Gordon equations in spherical symmetry
- On the global uniqueness for the Einstein-Maxwell-scalar field system with a cosmological constant. III: Mass inflation and extendibility of the solutions
- Bounded energy waves on the black hole interior of Reissner-Nordström-de Sitter
- Boundedness and decay of scalar waves at the Cauchy horizon of the Kerr spacetime
- Late-time asymptotics for the wave equation on spherically symmetric, stationary spacetimes
- Linear waves in the interior of extremal black holes. II
- The \(C^0\)-inextendibility of the Schwarzschild spacetime and the spacelike diameter in Lorentzian geometry
- A mathematical theory of gravitational collapse
- Examples of naked singularity formation in the gravitational collapse of a scalar field
- The interior of dynamical extremal black holes in spherical symmetry
- Numerical evolution of the interior geometry of charged black holes
- Polynomial blow-up upper bounds for the Einstein-Scalar Field system under spherical symmetry
- Strong cosmic censorship in spherical symmetry for two-ended asymptotically flat initial data II: the exterior of the Black Hole region
- Generic blow-up results for the wave equation in the interior of a Schwarzschild black hole
- Boundedness of massless scalar waves on Kerr interior backgrounds
- Strong cosmic censorship in spherical symmetry for two-ended asymptotically flat initial data. I: The interior of the black hole region
- Linear waves in the interior of extremal black holes. I
- A proof of Price's law for the collapse of a self-gravitating scalar field
- The linear stability of the Schwarzschild solution to gravitational perturbations
- Mass inflation and the \(C^2\)-inextendibility of spherically symmetric charged scalar field dynamical black holes
- Asymptotics for scalar perturbations from a neighborhood of the bifurcation sphere
- The formation of black holes and singularities in spherically symmetric gravitational collapse
- Bounded variation solutions of the spherically symmetric einstein‐scalar field equations
- The interior of charged black holes and the problem of uniqueness in general relativity
- On the global initial value problem and the issue of singularities
- Global Nonlinear Stability of Schwarzschild Spacetime under Polarized Perturbations
- Linear systems of wave equations on cosmological backgrounds with convergent asymptotics
- On the global uniqueness for the Einstein–Maxwell-scalar field system with a cosmological constant: I. Well posedness and breakdown criterion
- The wave equation near flat Friedmann–Lemaître–Robertson–Walker and Kasner Big Bang singularities
