349 citations · 1.6k across the 52 of their papers we have counts for
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gr-qc1999★ 71 cited
Non-Existence of Time-Periodic Solutions of the Dirac Equation in an Axisymmetric Black Hole Geometry
Felix Finster, Niky Kamran, Joel Smoller +1
We prove that, in the non-extreme Kerr-Newman black hole geometry, the Dirac equation has no normalizable, time-periodic solutions. A key tool is Chandrasekhar's separation of the…
solv-int1999★ 5 cited
Invariant Modules and the Reduction of Nonlinear Partial Differential Equations to Dynamical Systems
Niky Kamran, Robert Milson, Peter Olver
We completely characterize all nonlinear partial differential equations leaving a given finite-dimensional vector space of analytic functions invariant. Existence of an invariant s…