Gravity and Geometric Phases

Abstract

The behavior of a quantum test particle satisfying the Klein-Gordon equation in a certain class of 4 dimensional stationary space-times is examined. In a space-time of a spinning cosmic string, the wave function of a particle in a box is shown to acquire a geometric phase when the box is transported around a closed path surrounding the string. When interpreted as an Aharonov-Anandan geometric phase, the effect is shown to be related to the Aharonov-Bohm effect.

11 pages, latex file

Cited by in corpus (10)

• Geometric Phase for Neutral Particle in the Presence of a Topological Defect
• Gravitational Geometric Phase in the Presence of Torsion
• Relativistic Adiabatic Approximation and Geometric Phase
• Statistical proerties of the two-dimensional Feshbach-illars oscillator (FVO) in the rotating cosmic string
• Compositeness Condition for Dynamically Induced Gauge Theories
• The Berry phase in inflationary cosmology
• An overview of the gravitational spin Hall effect
• Cosmological Geometric Phase From Pure Quantum States: A study without/with having Bell's inequality violation
• Geometry of the Aharonov-Bohm Effect
• Theoretical and observational aspects of cosmological inflation