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Absence of Zero Energy States in the Simplest d=3 (d=5?) Matrix Models
Jens Hoppe, Shing-Tung Yau
The method introduced in [hep-th/9805020] is simplified, and used to calculate the asymptotic form of all SU(2) \times SO(d=3, resp. 5) invariant wave functions satisfying $Q_{\hat…
Non-Existence of Time-Periodic Solutions of the Dirac Equation in a Reissner-Nordstrom Black Hole Background
Felix Finster, Joel Smoller, Shing-Tung Yau
It is shown analytically that the Dirac equation has no normalizable, time-periodic solutions in a Reissner-Nordstrom black hole background; in particular, there are no static solu…
Particle-Like Solutions of the Einstein-Dirac-Maxwell Equations
Felix Finster, Joel Smoller, Shing-Tung Yau
We consider the coupled Einstein-Dirac-Maxwell equations for a static, spherically symmetric system of two fermions in a singlet spinor state. Soliton-like solutions are constructe…
Particle-Like Solutions of the Einstein-Dirac Equations
Felix Finster, Joel Smoller, Shing-Tung Yau
The coupled Einstein-Dirac equations for a static, spherically symmetric system of two fermions in a singlet spinor state are derived. Using numerical methods, we construct an infi…