Stability and instability of Schwarzschild-AdS for the nonlinear Einstein-Klein-Gordon system
DOI10.1007/s10255-022-1101-9zbMath1504.35545OpenAlexW4306851549MaRDI QIDQ2087656
Publication date: 21 October 2022
Published in: Acta Mathematicae Applicatae Sinica. English Series (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10255-022-1101-9
Asymptotic behavior of solutions to PDEs (35B40) Black holes (83C57) Stability in context of PDEs (35B35) Wave equation (35L05) Fixed-point theorems on manifolds (58C30) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Perturbations in context of PDEs (35B20) PDEs in connection with relativity and gravitational theory (35Q75) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)
Cites Work
- Unnamed Item
- Self-gravitating Klein-Gordon fields in asymptotically anti-de-Sitter spacetimes
- Stability and decay rates for the five-dimensional Schwarzschild metric under biaxial perturbations
- Asymptotic distribution of quasi-normal modes for Kerr-de Sitter black holes
- On the massive wave equation on slowly rotating Kerr-AdS spacetimes
- Quasi-normal modes and exponential energy decay for the Kerr-de Sitter black hole
- A proof of the uniform boundedness of solutions to the wave equation on slowly rotating Kerr backgrounds
- On the nonlinear stability of higher dimensional triaxial Bianchi-IX black holes
- Future stability of the Einstein-non-linear scalar field system
- Decay and non-decay of the local energy for the wave equation on the De Sitter-Schwarzschild metric
- The Dirac system on the anti-de Sitter universe
- Strichartz estimates on Schwarzschild black hole backgrounds
- Uniform decay of local energy and the semi-linear wave equation on Schwarzschild space
- Initial boundary value problems for Einstein's field equations and geometric uniqueness
- Stability in gauged extended supergravity
- The problem of a self-gravitating scalar field
- On the existence of \(n\)-geodesically complete or future complete solutions of Einstein's field equations with smooth asymptotic structure
- The instability of naked singularities in the gravitational collapse of a scalar field.
- A mathematical theory of gravitational collapse
- Examples of naked singularity formation in the gravitational collapse of a scalar field
- Stability of Schwarzschild-AdS for the spherically symmetric Einstein-Klein-Gordon system
- The wave equation on asymptotically anti de Sitter spaces
- A proof of Price's law for the collapse of a self-gravitating scalar field
- An extension principle for the Einstein-Vlasov system in spherical symmetry
- On naked singularities and the collapse of self-gravitating Higgs fields
- WELL-POSEDNESS FOR THE MASSIVE WAVE EQUATION ON ASYMPTOTICALLY ANTI-DE SITTER SPACETIMES
- A Local Energy Estimate on Kerr Black Hole Backgrounds
- Strichartz estimates on Kerr black hole backgrounds
- The red‐shift effect and radiation decay on black hole spacetimes
- Building a Holographic Superconductor
- Spherically symmetric spacetimes with a trapped surface
- Dressing a black hole with non-minimally coupled scalar field hair
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