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gr-qc2025
'Stealth' singularities from self-gravitating fermions
Peter E. D. Leith, Chris A. Hooley, Keith Horne +1
We present a new analytic solution to the Einstein-Dirac equations formulated by Finster, Smoller, and Yau [Phys. Rev. D 59, 104020 (1999)] to describe the stationary states of a p…
quant-ph2025
Classically Bound and Quantum Quasi-Bound States of an Electron on a Plane Adjacent to a Magnetic Monopole
J. Martin, A. Baskerville, V. L. Campo +6
In three-dimensional space an electron moving in the field of a magnetic monopole has no bound states. In this paper we explore the physics when the electron is restricted to a two…