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arXiv · 2211.13695

Carrollian Motion in Magnetized Black Hole Horizons

Finnian Gray·David Kubiznak·T. Rick Perche·Jaime Redondo-Yuste
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Abstract

We revisit the motion of massless particles with anyonic spin in the horizon of Kerr--Newman geometry. As recently shown, such particles can move within the horizon of the black hole due to the coupling of charges associated with a 2-parametric central extension of the 2-dimensional Carroll group to the magnetic field generated by the black hole -- the so called "anyonic spin-Hall effect". We show that the previously computed magnetic field is not invariant under Carroll diffeomorphisms and find another result which respects these symmetries of the horizon. We also consider a more astrophysically relevant case of a (weakly charged) rotating back hole placed in a uniform magnetic field, which could, for instance, be induced by the surrounding plasma. We show that a qualitatively similar magnetic field assisted anyonic spin-Hall effect takes place, even in the absence of black hole rotation. The theoretical possibility of a motion induced by a magnetic monopole is also studied.

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Finnian Gray, David Kubiznak, T. Rick Perche, Jaime Redondo-Yuste. 2023-03-25. Carrollian Motion in Magnetized Black Hole Horizons. https://doi.org/10.1103/physrevd.107.064009

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