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Geometric phase in Taub-NUT spacetime

Chakraborty, C and Mukhopadhyay, B (2023) Geometric phase in Taub-NUT spacetime. In: European Physical Journal C, 83 (10).

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Official URL: https://doi.org/10.1140/epjc/s10052-023-12070-0


Constructing the Hamiltonian in the η -representation, we explore the geometric phase in the Taub-NUT spacetime, which is spherically symmetric and stationary. The geometric phase around a non-rotating Taub-NUT spacetime reveals both the gravitational analog of Aharonov–Bohm effect and Pancharatnam–Berry phase, similar to the rotating Kerr background. On the other hand, only the latter emerges in the spherically symmetric Schwarzschild geometry as well as in the axisymmetric magnetized Schwarzschild geometry. With this result, we argue that the Aharonov–Bohm effect and Pancharatnam–Berry phase both can emerge in the stationary spacetime, whereas only the latter emerges in the static spacetime. We outline plausible measurements of these effects/phases, mostly for primordial black holes. © 2023, The Author(s).

Item Type: Journal Article
Publication: European Physical Journal C
Publisher: Institute for Ionics
Additional Information: The copyright for this article belongs to the Author.
Keywords: Black holes; Fruits; Gravitation; Stars, Aharonov-bohm effects; Axisymmetric; Geometric phase; Measurements of; Pancharatnam-Berry phase; Primordial black holes; Schwarzschild geometry; Spacetime; Static spacetime; Symmetrics, Geometry
Department/Centre: Division of Physical & Mathematical Sciences > Physics
Date Deposited: 15 Dec 2023 11:11
Last Modified: 15 Dec 2023 11:11
URI: https://eprints.iisc.ac.in/id/eprint/83394

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