Anyonic spin-Hall effect on the black hole horizon

Marsot, Loïc; Zhang, Pengming; Horváthy, P. A.

doi:10.1103/physrevd.106.l121503

Cited by 16 publications

(4 citation statements)

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“…As another application, the methods introduced in this paper can be used to investigate the existence and behaviour of particles on the event horizon of black hole solutions. In [75], the authors study the behaviour of massless particles on the event horizon of the Kerr-Newman black hole. In this case, the event horizon is a Killing horizon, and hence the Carroll geometry is torsion-free.…”

Section: Discussionmentioning

confidence: 99%

Horizons that gyre and gimble: a differential characterization of null hypersurfaces

Blitz,

McNutt

2024

Eur. Phys. J. C

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Motivated by the thermodynamics of black hole solutions conformal to stationary solutions, we study the geometric invariant theory of null hypersurfaces. It is well-known that a null hypersurface in a Lorentzian manifold can be treated as a Carrollian geometry. Additional structure can be added to this geometry by choosing a connection which yields a Carrollian manifold. In the literature various authors have introduced Koszul connections to study the study the physics on these hypersurfaces. In this paper we examine the various Carrollian geometries and their relationship to null hypersurface embeddings. We specify the geometric data required to construct a rigid Carrollian geometry, and we argue that a connection with torsion is the most natural object to study Carrollian manifolds. We then use this connection to develop a hypersurface calculus suitable for a study of intrinsic and extrinsic differential invariants on embedded null hypersurfaces; motivating examples are given, including geometric invariants preserved under conformal transformations.

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Section: Discussionmentioning

confidence: 99%

Horizons that gyre and gimble: a differential characterization of null hypersurfaces

Blitz,

McNutt

2024

Eur. Phys. J. C

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“…Then, the equations would correspond for any value of the spin for the Carroll particle. While it seems like the Carrollian coupling constant µ between the magnetic field and anyonic spin vanishes in this example, finding instances where this coupling constant may not vanish would be interesting, since this parameter, along with the central extensions of the Carroll group in 2+1 dimensions, is responsible for intriguing dynamics, see [43].…”

Section: Massless Chiral Fermionsmentioning

confidence: 91%

Induced motions on Carroll geometries

Marsot

2024

Class. Quantum Grav.

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In this article, we consider some Carrollian dynamical systems as effective models on null hypersurfaces in a Lorentzian spacetime. We show that we can realize Carroll models from more usual ‘relativistic’ theories. In particular, we show how ambient null geodesics imply the classical ŉo Carroll motion’ and, more interestingly, we find that the ambient model of chiral fermions implies Hall motion on null hypersurfaces, in agreement with previous intrinsic Carroll results. We also show how Wigner–Souriau translations imply (apparent) Carroll motion, and how ambient particles with a non vanishing gyromagnetic ratio cannot have a Carrollian description.

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“…Spin-dependent effects on the propagation of wave packets and particles have been widely studied in general relativity using different methods, such as WKBtype approximations [25-28, 30, 32, 34, 35, 49-55], the Mathisson-Papapetrou equations for spinning objects [27,[56][57][58][59][60], approximation methods inspired from quantum mechanics [29,31,33] and others [61,62] (see also [63][64][65][66][67][68][69]). Furthermore, gravitational spin Hall effects are predicted for different fields propagating in curved spacetime, such as electromagnetic [26][27][28][29], linearized gravitational [30,31] and massive and massless Dirac fields [32,34,35] (spin Hall effects have also been predicted for more exotic particles such as massless particles with anyonic spin [70][71][72][73]).…”

Section: Spin Hall Effects In General Relativitymentioning

confidence: 99%

Spin Hall effects in the sky

Andersson

2023

Class. Quantum Grav.

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In many areas of physics, the propagation of wave packets carrying intrinsic angular momentum is generally influenced by spin-orbit interactions. This is the main mechanism behind spin Hall effects, which result in wave packets following spin-dependent trajectories. Spin Hall effects have been observed in several experiments for electrons in condensed matter systems and for light propagating in inhomogeneous optical media. Similar effects have also been predicted for wave packets propagating in inhomogeneous gravitational fields. We give a brief introduction to gravitational spin Hall effects, emphasizing the analogies with the spin Hall effect of light in optics. Furthermore, we review the most promising astrophysical avenues that could lead to experimental observations of the gravitational spin Hall effect.

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Anyonic spin-Hall effect on the black hole horizon

Cited by 16 publications

References 50 publications

Horizons that gyre and gimble: a differential characterization of null hypersurfaces

Horizons that gyre and gimble: a differential characterization of null hypersurfaces

Induced motions on Carroll geometries

Spin Hall effects in the sky

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