Gravitational analogue of the Aharonov-Casher effect

1994/09/13 by Benni Reznik · 3 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Quantum Mechanics and Non-Hermitian Physics #Quantum, superfluid, helium dynamics #gr-qc

paper · pdf · doi:10.1103/physrevd.51.3108

published as Phys.Rev. D51 (1995) 3108-3112 · 15 pages, Latex, TP-94-009

arxiv created 1994/09/13 · openalex publication_date 1995/03/15 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

The gravitational interaction between a massive particle and a spinning particle in the weak-field limit is studied. We show that a system of a spinning pointlike particle and a massive rod exhibit a topological effect analogous to the electromagnetic Aharonov-Casher effect. We discuss the effect also for systems with a cosmic string instead of a massive rod and in the context of (2+1)-dimensional gravity.

Citations

• 2 + 1 dimensional gravity as an exactly soluble system
• Significance of Electromagnetic Potentials in the Quantum Theory
• Torque and force on a magnetic dipole

Cited by

• Geometric phase for a neutral particle in the presence of a topological defect
• Magnetic properties of scalar particles—the scalar Aharonov–Casher effect and supersymmetry
• Flux-free conductance modulation in a helical Aharonov–Bohm interferometer