Einstein's equations in electromagnetic media

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.

Authors

Publication Details

Journal
Springer Link (Chiba Institute of Technology)
Published
2026-04-16
DOI
https://doi.org/10.1209/0295-5075/ae58cf/pdf
Primary Topic
Quantum and Classical Electrodynamics
Type
article
Field-Weighted Citation Impact
0.00
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article

Einstein's equations in electromagnetic media

Ulf Leonhardt, Eren Erberk Erkul
Springer Link (Chiba Institute of Technology)
Quantum and Classical Electrodynamics
article

Einstein's equations in electromagnetic media

Ulf Leonhardt, Eren Erberk Erkul
article en

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.

Springer Link (Chiba Institute of Technology)
Openalex Percentile: Top 15%
Quantum and Classical Electrodynamics
DOISourceOpenAlex
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Einstein's equations in electromagnetic media — Ulf Leonhardt, Eren Erberk Erkul · Springer Link (Chiba Institute of Technology) (2026) | TGRS Research Map | TGRS