A note on the Klein–Gordon equation in the background of a rotating black hole
DOI10.1063/1.3037327zbMath1189.81162arXiv0802.3824OpenAlexW2020606335MaRDI QIDQ3649938
Publication date: 7 December 2009
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0802.3824
weighted \(L^2\)-spaceessential self-adjointness of spatial part of reduced normalized wave operator of Kerr metricwave equation in the gravitational field of Kerr black holeswell-posedness of initial value problem of reduced Klein-Gordon equation
Black holes (83C57) Quantum field theory on curved space or space-time backgrounds (81T20) Applications of selfadjoint operator algebras to physics (46L60) Methods of quantum field theory in general relativity and gravitational theory (83C47)
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Cites Work
- Unnamed Item
- Beyond partial differential equations. On linear and quasi-linear abstract hyperbolic evolution equations
- Selfadjointness and positivity of a certain partial differential operator associated with the Kerr metric in general relativity
- Decay of solutions of the wave equation in the Kerr geometry
- Semigroups of linear operators and applications to partial differential equations
- The double-wedge algebra for quantum fields on Schwarzschild and Minkowski spacetimes
- Stability of a Schwarzschild Singularity
- On a new symmetry of the solutions of the wave equation in the background of a Kerr 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
- Maximal Analytic Extension of the Kerr Metric
- On the stability of the Kerr metric
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