On the stability of the massive scalar field in Kerr space-time
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Publication:2851719
DOI10.1063/1.3653840zbMath1272.81052arXiv1105.4956OpenAlexW2005375087MaRDI QIDQ2851719
Publication date: 2 October 2013
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1105.4956
Black holes (83C57) Stability in context of PDEs (35B35) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Time-dependent Schrödinger equations and Dirac equations (35Q41) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35)
Related Items (7)
The superradiant instability regime of the spinning Kerr black hole ⋮ No-bomb theorem for charged Reissner-Nordström black holes ⋮ Spinning Kerr black holes with stationary massive scalar clouds: the large-coupling regime ⋮ Stability study of a model for the Klein-Gordon equation in Kerr space-time ⋮ Stability study of a model for the Klein-Gordon equation in Kerr space-time. II ⋮ Exponentially growing finite energy solutions for the Klein-Gordon equation on sub-extremal Kerr spacetimes ⋮ Superradiant stability of mutated Reissner-Nordström black holes
Cites Work
- A proof of the uniform boundedness of solutions to the wave equation on slowly rotating Kerr backgrounds
- Decay of solutions of the wave equation in the Kerr geometry
- On quadratic first integrals of the geodesic equations for type [22 spacetimes]
- Mode stability of the Kerr black hole
- Stability of a Schwarzschild Singularity
- On a new symmetry of the solutions of the wave equation in the background of a Kerr black hole
- A note on the Klein–Gordon equation in the background of a rotating black hole
- Linear stability of Schwarzschild under perturbations which are non-vanishing on the bifurcation 2-sphere
- A framework for perturbations and stability of differentially rotating stars
- Instability of Massive Scalar Fields in Kerr-Newman Spacetime
- Intrinsic characterization of the separation constant for spin one and gravitational perturbations in Kerr geometry
- Maximal Analytic Extension of the Kerr Metric
- Global Structure of the Kerr Family of Gravitational Fields
- On the stability of the Kerr metric
- Uniqueness of smooth stationary black holes in vacuum: Small perturbations of the Kerr spaces
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