| Issue |
EPL
Volume 154, Number 1, April 2026
|
|
|---|---|---|
| Article Number | 16003 | |
| Number of page(s) | 7 | |
| Section | Condensed matter and materials physics | |
| DOI | https://doi.org/10.1209/0295-5075/ae58cf | |
| Published online | 16 April 2026 | |
Einstein's equations in electromagnetic media
1 Department of Physics & Department of Electrical and Electronics Engineering, Middle East Technical University Ankara 06800, Turkey
2 Department of Physics of Complex Systems, Weizmann Institute of Science - Rehovot 7610001, Israel
Received: 13 August 2025
Accepted: 30 March 2026
Abstract
In this paper, we extend Plebanski's mapping to encode the Einstein equations in Arnowitt-Deser-Misner (ADM) form within a bianisotropic electromagnetic medium. We realise this by translating the ADM constraints and evolution equations into dynamical conditions on the medium's constitutive parameters. These transformed equations are then linearised in vacuum to derive gravitational-wave analogues as perturbations of the optical medium.
© 2026 The author(s)
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