Geometric phase in Taub-NUT spacetime
Abstract Constructing the Hamiltonian in the $$\eta $$ 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 effec...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2023-10-01
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| Series: | European Physical Journal C: Particles and Fields |
| Online Access: | https://doi.org/10.1140/epjc/s10052-023-12070-0 |
| _version_ | 1827309999295037440 |
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| author | Chandrachur Chakraborty Banibrata Mukhopadhyay |
| author_facet | Chandrachur Chakraborty Banibrata Mukhopadhyay |
| author_sort | Chandrachur Chakraborty |
| collection | DOAJ |
| description | Abstract Constructing the Hamiltonian in the $$\eta $$ 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. |
| first_indexed | 2024-03-11T16:46:08Z |
| format | Article |
| id | doaj.art-4899a365752741d5a6dd49593e66df82 |
| institution | Directory Open Access Journal |
| issn | 1434-6052 |
| language | English |
| last_indexed | 2024-04-24T19:52:40Z |
| publishDate | 2023-10-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | European Physical Journal C: Particles and Fields |
| spelling | doaj.art-4899a365752741d5a6dd49593e66df822024-03-24T12:30:25ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60522023-10-0183101910.1140/epjc/s10052-023-12070-0Geometric phase in Taub-NUT spacetimeChandrachur Chakraborty0Banibrata Mukhopadhyay1Manipal Centre for Natural Sciences, Manipal Academy of Higher EducationDepartment of Physics, Indian Institute of ScienceAbstract Constructing the Hamiltonian in the $$\eta $$ 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.https://doi.org/10.1140/epjc/s10052-023-12070-0 |
| spellingShingle | Chandrachur Chakraborty Banibrata Mukhopadhyay Geometric phase in Taub-NUT spacetime European Physical Journal C: Particles and Fields |
| title | Geometric phase in Taub-NUT spacetime |
| title_full | Geometric phase in Taub-NUT spacetime |
| title_fullStr | Geometric phase in Taub-NUT spacetime |
| title_full_unstemmed | Geometric phase in Taub-NUT spacetime |
| title_short | Geometric phase in Taub-NUT spacetime |
| title_sort | geometric phase in taub nut spacetime |
| url | https://doi.org/10.1140/epjc/s10052-023-12070-0 |
| work_keys_str_mv | AT chandrachurchakraborty geometricphaseintaubnutspacetime AT banibratamukhopadhyay geometricphaseintaubnutspacetime |