https://doi.org/10.1140/epjp/s13360-023-04608-8
Regular Article
Rotating frame as an optical medium
Department of Physics, University of Gonabad, Gonabad, Iran
Received:
25
September
2023
Accepted:
16
October
2023
Published online:
27
October
2023
We study the analogy between the geometric entities of the spacetime of a rotating frame and the electromagnetic and optical features of a metamaterial medium in the Minkowski spacetime of an inertial observer. Using Landau formalism, we rederive three-dimensional constitutive relations in stationary spacetime and we obtain electric permittivity, magnetic permeability and gravitational magnetoelectric tensors in this formalism. Also, we obtain the gravitational analog of the rotating spacetime index of refraction. Then we use these relations and definitions in the spacetimes of centric and eccentric rotating observers. We obtain constitutive relations for the Galilean rotating observer with different methods and compare them with each other and with previous results.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
