Carrollian Motion in Magnetized Black Hole Horizons

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.

arXiv comment8 pages, 3 figures

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Cited by in corpus (11)

• Spin Hall effects in the sky
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• Carroll Hawking effect
• Towards Carrollian quantization: renormalization of Carrollian electrodynamics
• Migrating Carrollian particles on magnetized black hole horizons
• Carrollian limit of quadratic gravity
• Uniqueness of Galilean and Carrollian limits of gravitational theories and application to higher derivative gravity
• Supersymmetric Carroll Galileons in Three Dimensions
• Universal sectors of two-dimensional Carrollian CFTs
• Unique Carrollian manifolds emerging from Einstein spacetimes
• Rotating Carroll Black Holes: A No Go Theorem