5–10 Jul 2021
Europe/Rome timezone

Gravitational geometric phase

8 Jul 2021, 18:30
20m
Talk in the parallel session Mathematical Problems of Relativistic Physics: Classical and Quantum Mathematical Problems of Relativistic Physics: Classical and Quantum

Speaker

Banibrata Mukhopadhyay (Indian Institute of Science)

Description

We show that spinors propagating in curved gravitational background
acquire an interaction with spacetime curvature, which leads to a
quantum mechanical geometric effect. This is similar to what happens
in the case of magnetic fields, known as the Pancharatnam-Berry phase.
As the magnetic and gravitational fields have certain similar
properties, e.g. both contribute to curvature, this result is not
difficult to understand. Interestingly, while spacetime around a
rotating black hole offers Aharonov-Bohm and Pancharatnam-Berry both
the kinds of geometric effect, a static spacetime offers only the latter.
In the bath of primordial black holes, such gravity induced effects
could easily be measured due to their smaller radius

Primary author

Banibrata Mukhopadhyay (Indian Institute of Science)

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Proceedings

Paper