108 citations · 997 across the 42 of their papers we have counts for
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Electron in higher-dimensional weakly charged rotating black hole spacetimes
Marco Cariglia, Valeri P. Frolov, Pavel Krtous +1
We demonstrate separability of the Dirac equation in weakly charged rotating black hole spacetimes in all dimensions. The electromagnetic field of the black hole is described by a…
Geometry of Lax pairs: particle motion and Killing-Yano tensors
Marco Cariglia, Valeri P. Frolov, Pavel Krtous +1
A geometric formulation of the Lax pair equation on a curved manifold is studied using phase space formalism. The corresponding (covariantly conserved) Lax tensor is defined and th…
Hidden Symmetries of the Dirac equation in curved spacetime
Marco Cariglia
These are introductory notes on the study of the Dirac equation in curved spacetime and its relation to hidden symmetries of the dynamics. We present general results on the relatio…
Hidden symmetries of Eisenhart-Duval lift metrics and the Dirac equation with flux
Marco Cariglia
The Eisenhart-Duval lift allows embedding non-relativistic theories into a Lorentzian geometrical setting. In this paper we study the lift from the point of view of the Dirac equat…